gives-the-impulse-delivered-by-a-time-dependent-force-ft-between-times-t1-and-t2

Question

Which expression correctly gives the impulse delivered by a time-dependent force F(t)F(t)  between times t1t_1  and t2t_2?

Accepted Answer

J=∫t1t2F(t) dt\displaystyle J=\int_{$$t_1$$}^{$$t_2$$}F(t)\,dt

Answer

J=F(t2)−F(t1)J = F($$t_2) - F$$($$t_1)$$

Answer

J=∫t1t2m⋅a(t)⋅t dt\displaystyle J=\int_{$$t_1$$}^{$$t_2$$}m\cdot a(t)\cdot t\,dt

Answer

J=∫t1t2t⋅F(t) dt\displaystyle J=\int_{$$t_1$$}^{$$t_2$$}t\cdot F(t)\,dt