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← JEE Main 2016 · 10 Apr · Shift 1
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JEE Main 2016 · 10 Apr · Shift 1, Physics question 4

Velocity-time graph for a body of mass 10 kg is shown in figure. Work-done on the body in first two seconds of the motion is :

Velocity-time graph: a straight line from 50 m/s at t = 0 down to zero at t = 10 s.
Choose one option
Answer and worked solution

Official answer: C

v falls linearly from 50 to 0 in 10 s, so at t = 2 s, v = 40 m/s. By the work-energy theorem,
W=12×10 (402−502)=−4500 J.W=\tfrac12\times10\,(40^2-50^2)=-4500\text{ J}.