Question

In trampoline competitions, a good jump is one that lasts about 1.8 seconds. (A) How high can an athlete who stays in the air 1.8 seconds go? (neglect air resistance.)

Answer 1

3.97305 m

Step-by-step explanation:

a = Acceleration due to gravity = 9.81 m/s²

If a jump lasts for 1.8 seconds this means that from the moment when the person leaves the ground till the person touches the ground again it takes 1.8 seconds. So, maximum height reached will be at half the time of the jump i.e., 0.9 seconds.

u = Initial velocity = 0

Equation of motion

`s=ut+(1)/(2)at^2\\\Rightarrow s=0t+(1)/(2)9.81* 0.9^2\\\Rightarrow s=3.97305\ m`

So, height of the jump is 3.97305 m.