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Q.

A 2 kg toy car can move along an x axis. Graph shows force Fx, acting on the car which begins at rest at time t = 0. The velocity of the particle at t = 10 s is:

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a

- i^ m/s

b

-1.5  i^ m/s

c

6  i^ m/s

d

13  i^ m/s

answer is C.

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Detailed Solution

∫dp = pf-pi = ∫F dt        = Area under the curve          pi = 0Net area = 16-2-2 = 12 N-s              = Vf = 132 = 6 i^ m/s[As momentum is positive, particle is moving along positive x axis.]
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A 2 kg toy car can move along an x axis. Graph shows force Fx, acting on the car which begins at rest at time t = 0. The velocity of the particle at t = 10 s is: