Question

Raindrops fall 1.59 x 10^3 m from a cloud to the ground. If they were not slowed by air resistance, how fast would the drops be moving when they struck the ground?

Answer 1

18 seconds

Step-by-step explanation:

s = Displacement = 1.59×10³ m

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 1590=0* t+(1)/(2)* 9.81* t^2\\\Rightarrow t=\sqrt{(1590* 2)/(9.81)}\\\Rightarrow t=18\ s`

Time taken by the raindrop to reach the ground neglecting air resistance is 18 seconds