A driver of a car P traveling at 52kmph applies brakes and accelerates uniformly to stop the car in 5s. The driver of another car Q traveling at 34kmph also applies brakes and slowly stops the car in 10s. Which car has undergone a greater acceleration?
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Answer:P
explanation:
For P
taking initial velocity u=52kmph
final velocity v=0kmph (car stops)
time=5sec
=5/3600hours
acceleration
(v-u)/t
(0-52)/(5/3600)
-52(3600)/5
-37440m/s^2
For Q
initial velocity u=34kmph
final velocity v=0kmph
time=10 sec
=10/3600 h
acceleration
(v-u)/t
(0-34)/(10/3600)
-34/(10/3600)
-34(3600)/10
-12240m/s^2
Negative sign denotes retardation
magnitude is More in case of P
so answer is P
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