Question

For the variables. No credit will be given if no work is shown.

1. Pete plays tennis. When he hits the ball, it is 1.34 m above the ground. He hits it horizontally with an
initial velocity of 7.6 m/s
a. How much time does it take for the ball to hit the ground? (4 points)

Answer 1

t = 0.52 s

Step-by-step explanation:

In order to find the time taken by the ball to reach the ground, we will analyze the vertical motion of the ball. We will use 2nd equation of motion here:

h = V₀y t + (1/2)gt²

where,

h = height = 1.34 m

V₀y = Vertical Component of Initial Velocity = 0 m/s (since, ball was thrown with horizontal velocity)

t = time taken to reach the ground = ?

g = 9.8 m/s²

Therefore,

1.34 m = (0 m/s)t + (1/2)(9.8 m/s²)t²

t² = 1.34 m/(4.9 m/s²)

t = √(0.273 s²)

t = 0.52 s