Question

you are traveling in a car that is moving at a velocity of 20 m/s. suddenly a car 10 meters in front of you slams on its brakes. at the moment you also slam on your brakes and slow to 5 m/s. calculate the acceleration if it took 3 seconds to slow your car down

Answer 1

INITIAL VELOCITY =20m/s=u

FINAL VELOCITY =5m/s=v

TIME TAKEN = 2 sec = t

Acceleration = ? = a

We have

a = [ V - U ] / f

= [ 5 - 20 ] /2 =7 .5 m/s2

ANSWER IS 7.5 m/s2

Answer 2

Find out the calculate the acceleration if it took 3 seconds to slow your car down .

To prove

The formula of the accleration is given by

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

`where\ v_(f)\ is\ the\ final\ velocity.`

`where\ v_(i)\ is\ the\ intial\ velocity.`

t is the time.

As given

you are traveling in a car that is moving at a velocity of 20 m/s.

suddenly a car 10 meters in front of you slams on its brakes.

at the moment you also slam on your brakes and slow to 5 m/s and it take 3 seconds.

`v_(f) = 5m/s`

`v_(i) = 20m/s`

t = 3s

put all the value in the formula

`a = (5 - 20)/(3)`

`a = (-15)/(3)`

a = -5 m/s²

Therefore the acceleration is -5 m/s² .