# Calculating Maximum Height in Projectile Motion on a Trampoline

• pennywise1234
In summary, you jumped upward off the trampoline with an initial velocity of 30 km/h. You reached a peak vertical of 0 above the trampoline, but your final height was 3.51 meters above the trampoline.
pennywise1234

## Homework Statement

You jump straight upward off a trampoline with an initial velocity of 30 km/h. How high above the trampoline will you reach?

## Homework Equations

v2=v1 + a x t & v2(square root)=v1(square root) + 2ad

## The Attempt at a Solution

I tried 30km/h into the second equation (knowing that acceleration in 9.81) and that the vertical at its peak is 0 but my number is no were near the answer key

do i have to convert km/h to m? and where did i go wrong

pennywise1234 said:

## Homework Statement

You jump straight upward off a trampoline with an initial velocity of 30 km/h. How high above the trampoline will you reach?

## Homework Equations

v2=v1 + a x t & v2(square root)=v1(square root) + 2ad

## The Attempt at a Solution

I tried 30km/h into the second equation (knowing that acceleration in 9.81) and that the vertical at its peak is 0 but my number is no were near the answer key

do i have to convert km/h to m? and where did i go wrong
How can we tell where you went wrong when you don't show your work? You could be making a simple math error.

i did v2=0 v1=30km/hr + 2 x 9.81 (d)
i square rooted 30 to get 900 + 2 x 9.81 to get 919.62 which is far off from the answer i need

to answer your other question, you have to make sure all your units agree. Km/h is not the same as m/s^2 (which is what the acceleration due to gravity is in, I am assuming). Units of length must agree and units of time must agree.

the answer is in meters, which is 3.54m. So i do not convert km to m i convert to degrees?

pennywise1234 said:
the answer is in meters, which is 3.54m. So i do not convert km to m i convert to degrees?
Convert km/h into the same units as your acceleration - so if using 9.81m/s2 convert km/h into m/s. You are only dealing with one direction so there isn't a reason to apply any conversion of degrees.

pennywise1234
thanks i did D= v2 - V1/2 X a

so i did 0-8.3 (Square root)/2 x 9.81

then i did 68.8/19.62 got 3.51m

does that seem right ^^

## 1. What is projectile motion?

Projectile motion is the motion of an object through the air under the influence of gravity, without any external forces acting on it.

## 2. How does a trampoline affect projectile motion?

A trampoline affects projectile motion by providing a surface for the object to bounce off of, changing its trajectory and altering its velocity and acceleration.

## 3. What factors influence the trajectory of a projectile on a trampoline?

The trajectory of a projectile on a trampoline is influenced by the initial velocity, angle of launch, mass of the object, and the elasticity and shape of the trampoline surface.

## 4. How does air resistance impact projectile motion on a trampoline?

Air resistance can affect projectile motion on a trampoline by slowing down the object's velocity and reducing the distance it travels. This is especially noticeable with larger and more aerodynamic objects.

## 5. Can a trampoline be used to demonstrate projectile motion?

Yes, a trampoline can be used to demonstrate projectile motion by launching objects from different angles and observing how they travel through the air and bounce off the trampoline surface.

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