Question

If there were no air resistance, how long would it take a free-falling skydiver to fall from a plane at 3000 m to an altitude of 420 m , where she will pull her ripcord?

Answer 1

22.93 seconds

Step-by-step explanation:

s = Displacement = 3000 - 420 = 2580 m = The distance she will free fall

a = Acceleration due to gravity = 9.81 m/s²

u = Initial velocity = 0

v = Final velocity

t = Time taken

Equation of motion

`s=ut+(1)/(2)at^2\\\Rightarrow 2580=0* t+(1)/(2)* 9.81* t^2\\\Rightarrow t=\sqrt{(2580* 2)/(9.81)}\\\Rightarrow t=22.93\ s`

Time taken by the skydiver to cover the distance between 3000 m to an altitude of 420 m neglecting air resistance is 22.93 seconds