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

Answer:

22.93 seconds

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

$s=ut+\frac{1}{2}at^2\\\Rightarrow 2580=0\times t+\frac{1}{2}\times 9.81\times t^2\\\Rightarrow t=\sqrt{\frac{2580\times 2}{9.81}}\\\Rightarrow t=22.93\ s$

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