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

Answer

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

$a = \frac{v_{f} - v_{i}}{t}$

$where\ v_{f}\ is\ the\ final\ velocity.$

$where\ v_{i}\ is\ the\ intial\ velocity.$

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

$a = \frac{5 - 20}{3}$

$a = \frac{-15}{3}$

a = -5 m/s²

Therefore the acceleration is -5 m/s² .

Answer 2

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