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 .
