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A particle of mass 10kg is moving in a straight line. If its displacement, x with time t is given by x=(t32t10)m , then the force acting on it at the end of 4 seconds is

a
24 N
b
240 N
c
300 N
d
1200 N

detailed solution

Correct option is B

m=10kg,x=(t3−2t−10)m ⇒dxdt=v=3t2−2 ⇒dVdt2=a=6tAt the end of 4 seconds, a=6×4=24m/s2F=ma=10×24=240N

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