Question

You are traveling in a car that is moving at a velocity of 30 m/s. Suddenly, a car 15 meters in front of you slams on its brakes. At that moment, you also slam on your brakes and slow to 10 m/s. Calculate the acceleration if it took 3 seconds to slow your car down.

Answer 1

The acceleration of car is 6.67 m/s².

Step-by-step explanation:

Given that,

Initial velocity = 30 m/s

Distance = 15 m

Final velocity = 10 m/s

Time = 3 sec

We need to calculate the acceleration

Using formula of acceleration

`a=(v_(f)-v_(i))/(t)`

`a=(10-30)/(3)`

`a=(-20)/(3)`

`a=-6.67\ m/s^2`

Negative sign shows the car is slowing down.

Hence, The acceleration of car is 6.67 m/s².