Calculating Maximum Height in Projectile Motion on a Trampoline

AI Thread Summary
To calculate the maximum height reached after jumping off a trampoline with an initial velocity of 30 km/h, it's essential to convert the velocity into meters per second for consistency with gravitational acceleration units. The correct approach involves using the equation v² = v₁² + 2ad, where v is the final velocity (0 at the peak), v₁ is the initial velocity in m/s, and a is the acceleration due to gravity (-9.81 m/s²). The calculated height should be approximately 3.54 meters, confirming that unit consistency is crucial for accurate results. The final calculations provided by the user yield a height of 3.51 meters, which is close to the expected answer. Proper unit conversion and equation application are vital for solving projectile motion problems accurately.
pennywise1234
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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
 
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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.
 
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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 ^^
 

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