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?

Question

asked May 21, 2020 204k views

1 Answer

Roger Sanders · Answer 1 · 2020-05-26T12:40:37+0000

Answer:

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