A unique type of basketball is played on planet Zarth. During the game, a player flies above the basket and drops the ball in from a height of 8.5m. If the ball takes 5s to fall, find the value of gravity on Zarth.

KingChris
Dec 20, 2017

#1**+1 **

We can use this equation

h = vi * t + (1/2) * a * t^2

Where

h = height = 8.5 m

vi = initial velocity = 0

a = acceleration due to gravity

t = time = 5s

8.5 m = 0 * 5s + (1/2) * a * (5 s)^2

8.5 = 12.5 a

8.5 m / 12.5 s^2 = .68 m/s^2 = acceleration due to gravity

This will be a negative quantity since it is directed downward

So..... this is -.68 / -9.81 ≈ .069 that of Earth ≈ 6.9% of that on Earth

CPhill
Dec 20, 2017