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A particle moves with position given by is measured in meters when t is measured in seconds. For each of the following, consider only t > 0. (a) The magnitude of the linear velocity of this particle is (A) increasing in time. (B) constant in time. (C) decreasing in time. (D) undefined. (b) The magnitude of the linear momentum of this particle is (A) increasing in time. (B) constant in time. (C) decreasing in time. (D) undefined. (c) The magnitude of the angular velocity of this particle about the origin is (A) increasing in time. (B) constant in time. (C) decreasing in time. (D) undefined. (d) The magnitude of the angular momentum of this particle about the origin is (A) increasing in time. (B) constant in time. (C) decreasing in time. (D) undefined.
From this equation to hold, the components of the vectors on the left hand side must be equal to the components on the right hand side, that is
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