Which one of the following correctly expresses the impulse delivered by a…

PHYSICS · Single correct · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

Which one of the following correctly expresses the impulse delivered by a time-dependent force F(t)F(t) acting from t=t1t=t_1 to t=t2t=t_2? (a) F ⁣(t1+t22)(t2−t1)F\!\left(\dfrac{t_1+t_2}{2}\right)(t_2-t_1) (b) The area under the FF–tt curve between t1t_1 and t2t_2 (i.e. ∫t1t2F(t) dt\displaystyle \int_{t_1}^{t_2} F(t)\,dt) (c) m v1+v22m\,\dfrac{v_1+v_2}{2} (d) mv2m v_2

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