Question

A girl throws a tennis ball upward with an initial velocity of 4 m/s. What is the maximum displacement of the ball?

Answer 1

0.82 m

Step-by-step explanation:

The ball is in free fall - uniform accelerated motion with constant acceleration downward,
`a=g=-9.8 m/s^2` (acceleration of gravity). So we can use the following suvat equation to solve the problem:

`v^2-u^2=2as`

where

v is the final velocity

u = 4 m/s is the initial velocity

a is the acceleration

s is the displacement

At the maximum displacement, v = 0 (the velocity becomes zero). Substituting and solving for s, we find:

`s=-(u^2)/(2a)=-(4^2)/(2(-9.8))=0.82 m`