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A particle is moving along x axis with constant acceleration.At t=0 , the particle is at x=3m and dx/dt= +4m/s.The maximum value of x co-ordinate of the particle is observed 2 seconds later.starting from t=0 sec after what time particle reaches its initial position again?Please show me the solution. a)4 sec b)6 sec c)8 sec d)12 sec

A particle is moving along x axis with constant acceleration.At t=0 , the particle is at x=3m and dx/dt= +4m/s.The maximum value of x co-ordinate of the particle is observed 2 seconds later.starting from t=0 sec after what time particle reaches its initial position again?Please show me the solution.
a)4 sec
b)6 sec
c)8 sec
d)12 sec

Grade:11

1 Answers

Akash Kumar Dutta
98 Points
8 years ago

Dear Nimish,
u=4m/s,
v=0 at t=2secs,
a=v/t=2 m/s^2
now S=0 to return back,
0=4t-t^2
=>t=4secs ANS=a)
Regards.

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