At any instant of time t, the displacement of any particle is given by x = 2t - 1 (in SI units) under the influence of a force of 5 N. The value of instantaneous power is (in SI units): (1) 10 (2) 5 (3) 7 (4) 6

Correct Answer: A — 10Step-by-step Solution:Instantaneous power is given by P = F × v, where v is instantaneous velocity. The displacement function is x = 2t - 1. Differentiating with respect to time: v = dx/dt = 2 m/s (constant). Force F = 5 N. Hence P = 5 × 2 = 10 W.Since velocity is constant, the instantaneous power is also constant.Key Concepts: Instantaneous power = force × instantaneous velocity; differentiation of displacement yields velocity.

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At any instant of time t, the displacement of any particle is given by x = 2t - 1 (in SI units) under the influence of a force of 5 N. The value of instantaneous power is (in SI units): (1) 10 (2) 5 (3) 7 (4) 6

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