A car accelerates from rest at a constant rate of 3m/s square for some time then it retards at constant rate of 6m/s square and comes to rest . If the total time for which it remains in motion is 3 second so calculate the how many distance will cover by the car
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Explanation:
C
4m/s
Let v,t
1
,t
2
be the maximum velocity attained, time for which car accelerated and the time for which car retarded respectively
⇒t
1
=(v−u)/a=(v−0)/2=v/2
⇒t
2
=(v−u)/a=(0−v)/(−4)=v/4
Now it is given that,
⇒t
1
+t
2
=3
⇒v/2+v/4=3
⇒v=4m/s
Hence correct answer is option C
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