Question

an object traveling 200 feet per second slows to 50 feet per second in 5 seconds. Calculate the acceleration of the object

Answer 1

The acceleration of the object is
`-30\ m/s^2`

Step-by-step explanation:

Given:

Initial velocity of object
`v_i` = 200 feet/second

Final velocity of object
`v_f` = 50 feet/second

Time of travel = 5 seconds

To calculate acceleration of the object we will find the rate of change of velocity with respect to time.

So, acceleration
`a` is given by:

`a=(v_f-v_i)/(t)`

where
`v_f` represents final velocity,
`v_i` represents initial velocity and
`t` is time of travel.

Plugging in values to evaluate acceleration.

`a=(50-200)/(5)`

`a=(-150)/(5)`

`a=-30\ m/s^2`

The acceleration of the object is
`-30\ m/s^2` (Answer). The negative sign shows the object is slowing down.