Question

1. A ball is thrown downward with an initial speed of 22 m/s on Earth. a. What is the acceleration of the ball? b. Calculate the displacement during the first 4 s. c. Calculate the time required to reach a speed of 60 m/s.​

Answer 1

Step-by-step explanation:

The acceleration of the ball would be due to the downward force of gravity, 9.8m/s^2. In order to find the displacement given that interval of time, you have to use the corresponding kinematic formula:

`d=v_it+at^2/2`

The initial velocity was given, the time was given, and the acceleration was given. Therefore:

`d=(22m/s)(4s)+(9.8m/s^2)(4s)^2/2`

`d=166.4m`

To find the required time given a desired final velocity, we can use:

`v_f=v_i+at`

`60m/s=22m/s+(9.8m/s^2)(t)`

`38=9.8t`

`t=3.9s`