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Consider a body of mass 1.0 kg at rest at the origin at time t = 0. A force ) j ˆ B i ˆ at ( F + = G is applied on the body, where α = 1.0 Ns –1 and β = 1.0 N. The torque acting on the body about the origin at time t = 1.0 s is τ G . Which of the following statements is (are) true ?

1. Nm 3 1 | | = τ G
2. The torque τ G is in the direction of the unit vector + k ˆ
3. The velocity of the body at t = 1 s is 1 s m ) j ˆ 2 i ˆ ( 2 1 v − + = G
4. The magnitude of displacement of the body at t = 1 s is m 6 1

Correct answer: The velocity of the body at t = 1 s is 1 s m ) j ˆ 2 i ˆ ( 2 1 v − + = G

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