The velocity of a object in the – plane is given by m s

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

The velocity of a 1.5 kg1.5\,\text{kg} object in the xx–yy plane is given by v(t)=5t i^+2t2 j^\mathbf{v}(t)=5 t\,\hat{i}+2 t^{2}\,\hat{j} m s−1^{-1}, where tt is in seconds. What is the net force on the object at t=2 st = 2\,\text{s}? (a) (15 i^+24 j^) N(15\,\hat{i}+24\,\hat{j})\ \text{N} (b) (5 i^+8 j^) N(5\,\hat{i}+8\,\hat{j})\ \text{N} (c) (7.5 i^+12 j^) N(7.5\,\hat{i}+12\,\hat{j})\ \text{N} (d) (7.5 i^+6 j^) N(7.5\,\hat{i}+6\,\hat{j})\ \text{N}

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