A particle is acted upon by a force that varies with time as

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

A particle is acted upon by a force that varies with time as F(t)=ktF(t)=kt, where kk is a constant. Show that the impulse delivered to the particle between t=0t = 0 and t=Tt = T is 12kT2\tfrac12 kT^{2}, and hence write the corresponding change in its momentum.

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