Question

Ryan throws a tennis ball vertically upward. The ball returns to the point of release after 3.5 s. What is the speed of the ball as it is released?

Answer 1

Answer:

34.37 m/s

Explanation:

Acceleration is the change in velocity of a body with respect to time. Mathematically,

Acceleration = change in velocity/time

a = v-u/t

at = v-u

v = u+at

Since the ball is thrown vertically upward, the body acts under influence of gravity and the acceleration due to gravity is positive i.e a = -g

The equation becomes;

v = u-gt where

v is the final velocity of the ball = 0m/s (velocity on landing)

u is the initial velocity of the ball (the velocity at point of release)

t is the time = 3.5secs

g = 9.82m/s²

Substituting this values in the formula above;

0 = u - 9.82(3.5)

-u = - 34.37

u = 34.37m/s