## Derive The Equation Of The Time Taken By The Ball To Reach The Maximum Height During Its Upward Movement

As this **acceleration due to gravity ** is working opposite to the upward velocity we have to use a negative sign in the formula below, used for the upward movement of the ball. We know the value of g in SI is 9.8 m/second square.

Using one of the equations of motion,

**v2 = v1 gt **

**As v2=0**, , then we can write the previous equation as follows:

** 0 = v1 gt**

or, **t = v1/g **.

So from equation , the**time taken by the ball to reach the maximum height** is expressed as = / ..

So just for example, if a ball is thrown vertically upwards with 98 m/s velocity, then to reach the maximum height it will take = 98/9.8 =10 seconds.

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## Ground Reaction Forces During A Vertical Jump

Ground reaction forces are the forces that the ground exerts on a jumper during the course of a vertical jump.

Youre maybe asking yourself: Isnt it the other way around? Isnt the athlete exerting forces on the ground instead of the ground on the athlete?

You are not wrong! In fact, both forces occur during a vertical jump. This phenomenon is explained in the 3rd Newton Law:

So if an athlete is exerting forces on the ground, then the ground is always exerting the same force, in the opposite direction on the athlete.

## What Is The Formula Of Height In Physics

**height**

. Keeping this in consideration, what is the formula to calculate height?

Multiply the **height** in feet by 30.48 to convertto centimeters. For example, if you are 5 feet 3 inches tall,multiply 5 by 30.48 to get 152.4 centimeters. Multiply the**height** in inches by 2.54. In this example, multiply 3 by2.54 to get 7.62 centimeters.

One may also ask, how do you calculate height from time fall? **How to use the free fall formula: an example**

Simply so, what is the formula for maximum height in projectile?

The **maximum height** of the **projectile**depends on the initial velocity v, the launch angle , andthe acceleration due to gravity. The unit of **maximum height**is meters . = angle of the initial velocity from thehorizontal plane .

What is the free fall formula?

**Free Fall Formula**. **Free fall** means that anobject is **falling** freely with no forces acting upon itexcept gravity, a defined constant, g = -9.8 m/s2. Thedistance the object falls, or height, h, is 1/2 gravity x thesquare of the time **falling**. Velocity is defined as gravity xtime.

**Speed****find**

#### Giga Campa

Height |
---|

**will stop growing****age****will**

#### Jatri Balanowski

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## Faqs On Projectile Motion Maximum Height Calculator

**1. How to get maximum height in projectile motion?**

The simple formula to calculate the projectile motion maximum height is h + Vo/sub> ² * sin² / . Students have to obtain the angle of launch, initial velocity, initial height and substitute those in the given formula. Evaluate the expression to get the maximum height of the projectile motion.

**2. Does height matter in projectile motion?**

Yes, the height of the object affects the trajectory of the projectile. For any speed of release, angle of release, the horizontal displacement increases as the height of release increases.

**3. How do you find the projectile maximum height on a calculator?**

Students have to enter data in the required input fields of the Maximum height calculator -projectile motion such as initial height, angle of launch, initial velocity. Hit on the calculate button to get the maximum height as output in the fraction of seconds.

**4. What is projectile motion?**

Projectile means an object which is flight after thrown or projected into the air. In projectile motion, the only acceleration acting is in the vertical direction and that is the acceleration due to gravity. Examples are football, baseball, cricket ball and so on.

#### Favorite Calculators

## How To Find The Height Of Trapezium

To find the height of a trapezoid, we can also find the area of any trapezoid, beginning by labelling its bases and altitude. In a trapezoid, mark the longer base a and the shorter base b. Mark a line perpendicular to the two bases h for height or altitude of a trapezoid. The area of the trapezoid is the average of the bases multiplied by the altitude. Where,

A = Long Base

H= Height

Area = /2 × h

Note: We are not required to know anything about the length of the legs or the angles of the vertices to determine the area.

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## How To Calculate Maximum Height Of A Projectile

The following are the simple and easy steps to evaluate projectile maximum height. Go through these steps and follow them carefully.

- Get the initial velocity of the object.
- the angle of launch and initial height of the object from the given question.
- Square the initial velocity, find the sine of angle square and multiply them.
- Double the acceleration due to gravity which is 9.81.
- Divide the result obtained in step 3 by step 4.
- Add the result to the initial height.
- The obtained result is called the maximum height of the projectile motion.

## How To Find Equation Of Path Of Projectile

Let a Particle be projected with velocity v0 and after time t it acquire a position P

x = v0cos0 t

$ \displaystyle y = v_ t \fracg t^2$

$ \displaystyle y = v_0 sin\theta_0 t \fracg t^2 $

$ \displaystyle y = v_0 sin\theta_0 \fracg ^2 $

$ \displaystyle y = x tan\theta_0 \frac$

This is the equation of a parabola. Therefore the path of the particle is parabolic when the particle passes the level of projection.

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## If You Lose Weight Will You Be Able To Jump Higher

Assuming you lose weight but keep all the strength and power, will you be able to jump higher?

**Answer:**

If an athlete loses 10% of his body weight but remains able to generate the same forces during takeoff, then he significantly improves his takeoff velocity!

My first idea about how to calculate the change in jump height, was to assume that the impulse stays the same if the jumper loses weight but the forces remain the same. But this way I got results that just didnt seem right

It took me a while but I finally recognized why! Look at the definition of the impulse:

$latexI = \int_^ F dt& s=2 $

$latex F & s=1 $ stays the same, but for a lighter athlete, these same forces result in a larger acceleration which in turns makes the takeoff much quicker. This means, that the time during which the jumper can exert forces becomes less and therefore the impulse decreases as well.

A better way to look at this problem is to assume that the potential energy of the body remains constant:

Lets take a look at the formula for the gravitational potential energy that the jumper possesses at the peak of the jump:

$latexU = m * g * h& s=2 $

If we asume $latex U & s=1 $ to be constant then we get for the new jump height:

$latexh_ = \frac \\ \\\begin => h_ & = \frac \\ \\& = \frac * \frac \\ \\& = h_ * 1.111 \end& s=2 $

So if you lose 10% bodyweight while everything else stays the same, you would improve your vertical jump by 11.1% ! If $latex x & s=1$ is the weight loss in %, then in general:

**Note:**

## Maximum Height Calculator Helps You Find The Answer

Just relax and look how easy-to-use this maximum height calculator is:

**Choose the velocity of the projectile**. Lets type 30 ft/s.

**Enter the angle**. Assume were kicking a ball at an angle of 70°.

**type the initial height**. In our case, our starting position is the ground, so type in 0. Can the ball fly over a 13-ft fence?

**maximum height calculator displayed the answer!**Its 12.35 ft. So it will not fly over the mentioned barrier throw it harder or increase the angle to reach your goal.

Just remember that we dont take air resistance into account!

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## How To Find The Maximum Height Of A Projectile

Maximum height of the object is the highest vertical position along its trajectory. The object is flying upwards before reaching the highest point and its falling after that point. It means that at the highest point of projectile motion, the vertical velocity is equal to 0 .

0 = Vy g * t = V * sin g * th

From that equation we can find the time th needed to reach the maximum height hmax:

th = V * sin / g

The formula describing vertical distance is:

y = Vy * t g * t² / 2

So, given y = hmax and t = th, we can join those two equations together:

hmax = Vy * th g * th² / 2

hmax = V² * sin² / g g * / g)² / 2

**hmax = V² * sin² / **

And what if **we launch a projectile from some initial height h?** No worries! Apparently, the calculations are a piece of cake all you need to do is add this initial elevation!

**hmax = h + V² * sin² / **

Lets discuss some special cases with changing angle of launch:

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## How To Get Taller

Height, for better or for worse, is largely determined by genetics. As mentioned above, very tall parents are more likely to have a taller child, while very short parents are more likely to have a shorter child, with the child being more likely than their parents to be closer to average height. After the growth spurt during puberty, which differs slightly for girls and boys, neither will typically grow much more, and girls typically stop growing by 15, while boys stop at around 18 years of age.

That being said, there are environmental factors that can affect the height of a child. Some of these may be within the control of the child, while many may not. Nutrition and health of the mother during pregnancy can affect the height of their unborn child. Nutrition as well as exercise after birth can also affect height.

Recommendations for providing the best conditions for your body to grow follow typical guidelines for healthy living :

*Clinical Pediatric Endocrinology*, 2015

## How Do You Measure The Height Of A Rocket

**Height****rocket****find****rocket****rocket****The calculator uses the standard formula from Newtonian physics to figure out how long before the falling object goes splat:**

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## Find Height From Gpe And Mass Of An Object

The equation for gravitational potential energy is GPE = mgh, where m is the mass in kilograms, g is the acceleration due to gravity which is a constant = 9.8 on Earth, and h is the height above the ground. This online calculator assists you to calculate the height of an object in space given its gravitational potential energy and mass.

#### Formula:

**Where,**

#### Example

**An object of mass 50 kg has a GPE of 9800 J, find the height of the object.**Height = 9800 / =20 m

In general, the gravitational potential energy arises from the law of gravity and is equal to the work done against gravity to bring a mass to a given point in space.

Gravitational potential energy, or GPE, is like height energy. The higher up an object is placed, the more GPE it has.

## How Do You Find The Height Of A Trapezium

Because the legs of the trapezoid are equivalent, the height of the trapezoid can be computed as given. To obtain the two triangles’ bases, we need to subtract the two bases. Suppose that the measure is 10 cm and 5 cm. Now we need to subtract 5cm from 10cm and divide by 2. 102 = h2 + 52 using the Pythagorean Theorem, the height is calculated as 100 = h2 + 25. Thus, h2 = 75

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## Faq’s On Projectile Motion Maximum Height Calculator

**1. How to get maximum height in projectile motion?**

The simple formula to calculate the projectile motion maximum height is h + Vo/sub> ² * sin² / . Students have to obtain the angle of launch, initial velocity, initial height and substitute those in the given formula. Evaluate the expression to get the maximum height of the projectile motion.

**2. Does height matter in projectile motion?**

Yes, the height of the object affects the trajectory of the projectile. For any speed of release, angle of release, the horizontal displacement increases as the height of release increases.

**3. How do you find the projectile maximum height on a calculator?**

Students have to enter data in the required input fields of the Maximum height calculator -projectile motion such as initial height, angle of launch, initial velocity. Hit on the calculate button to get the maximum height as output in the fraction of seconds.

**4. What is projectile motion?**

Projectile means an object which is flight after thrown or projected into the air. In projectile motion, the only acceleration acting is in the vertical direction and that is the acceleration due to gravity. Examples are football, baseball, cricket ball and so on.

#### Favorite Calculators

## What Happens When A Ball Is Thrown Vertically Upward

When a ball is thrown vertically upward it starts its vertical motion with an initial velocity. As it moves upwards vertically its velocity reduces gradually under the influence of earths gravity working towards the opposite direction of the balls motion. In other words, during upward movement, the ball is moving with retardation. And finally, the velocity of the ball becomes zero at a height. Then again it starts falling downwards vertically and this time its velocity increases gradually under the influence of gravity. During downward movement balls direction is the same as that of gravity and as a result, the ball comes down with acceleration and reaches the ground.

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## How Do You Find The Maximum Height Of A Projectile Calculus

**4.6/5**

Then, how do you find the maximum height of a projectile?

One may also ask, what is maximum height of a projectile? **Maximum Height** Formula. The **maximum height** of the object is **the highest** vertical position along its trajectory. The **maximum height** of the **projectile** depends on the initial velocity v0, the launch angle , and the acceleration due to gravity. The unit of **maximum height** is meters .

Likewise, people ask, how do you find the height of a function?

Projectile Motion. An object is thrown straight up from the top of a building h feet tall with an initial velocity of v feet per second. The **height** of the object as a **function** of time can be modeled by the **function** h = 16t2 + vt + h, where h is the **height** of the object t seconds after it is thrown.

What is the maximum height the ball reaches?

The required **maximum height** of the **ball** is 208 feet.

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## How Tall Will I Be

“How tall will I be?” or “how tall will my child be?” are questions that are often asked. The height of a person is determined by a combination of genetics and environmental factors. The precise contribution from these two factors is complex. Some studies suggest that genetics contributes 60%-80%. Normally, a child’s height is based on parental heights subject to regression toward the mean. This means that very tall or short parents are likely to have a taller or shorter child than average, but the child is likely to be closer to the average height than their parents.

Other important factors that contribute to a child’s adult height include nutrition, health, sports activities, health and age of the mother during pregnancy, etc.

Infants and toddlers grow the fastest. The growth rate declines rapidly from birth to roughly age 2 and declines more slowly thereafter. During puberty, the growth rate increases again to a second maximum, after which it slowly declines to zero. This is typically referred to as the pubertal growth spurt. On average, female and male growth trails off to zero at about 15 and 18 years old, respectively.

In some cases, a person’s height begins to shrink in middle age, though shrinkage of stature is largely universal in the very elderly. This is due to factors such as the decreased height of intervertebral discs as well as changes due to degenerative diseases.

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