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Question

A particle starts from rest with constant acceleration of 2m/s2 along a straight line. After some time it starts moving with constant retardation of 4m/s2 and finally stops. If total time of journey is 24 sec, the maximum velocity attained by the particle is 

Moderate
Solution

If Vm be the maximum velocity of the particle, then 

Vm=2t1t1=Vm2, Again, Vm=4t2=0t2=Vm4

Now, t1+t2=24Vm2+Vm4=24Vm=24×43m/s=32m/s

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