A car accelerates from rest to reach maximum velocity 20 m/s at 5 m/s2 and then retards to rest at 2 m/s2. What is the time for which the car is in motion?
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Given,
Maximum velocity of a car=20m/s
Acceleration at maximum velocity=5m/s2
Retardation =2m/s2
To Find,
Time for which the car is in motion.
Solution,
It is given that initially at rest.
Means, u=0m/s
Also final velocity is 20m/s
Means, v=20m/s
here, a=-5m/s^2
We have to find time of motion
So, t=?
We know that from the laws of motion that, v=u+at
⇒20=0+5t
⇒5t=20
⇒t=20/5=4sec
Hence, time for which the car is in motion is 4sec.
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