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Question

A particle starts from rest at time t=0 and moves on a straight line with an acceleration which varies with time as shown in fig. The speed of the particle will be maximum after how many seconds?

589554_27a2e2b3fa214d0aaf4e1705132fd33a.png

A
4
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B
5
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C
6
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D
1
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Solution

The correct option is A 4
Taking the motion from 0 to 4sec
u=0,a=10,t=4,v=?
v=u+at;v=010×4
v=40
Taking the motion from 2 to 4sec
u=40,a=10,t=6,v=?
v=u+at;v=40+(10)×6
v=20
Hence the speed of the particle will be maximum after 4 sec

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