2d Kinematics problem about projectile motion

Question

A ball is rolled down a ramp and launched off of a balcony. If the ball leaves the ramp with a horizontal velocity of 3.1 m/s, and the balcony is 4.3 meters tall, how far from the base of the balcony will the ball hit the ground?

Answer 1

First, calculate the time it takes to reach the ground.

h = height = 4.3 m

g = acceleration of gravity = 9,8 m/s²

t = time in seconds

h = gt²/2 ⇒

t = √(2h/g)

Plug in h and g and get t in seconds. Next, calculate the distance traveled using the horizontal speed and t.

v = horizontal speed = 3.1 m/s

d = horizontal distance traveled

d = vt

Plug in the numbers and get d in meters.