A force acting on a body is defined piece-wise as

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

Problem

A force acting on a body is defined piece-wise as F(t)={4t0≤t≤2 s82<t≤4 s\displaystyle F(t)=\begin{cases}4t & 0\le t\le 2\,\text{s}\\ 8 & 2<t\le 4\,\text{s}\end{cases}. Calculate the magnitude of the total impulse delivered during the 4 4\,s interval. (a) 32 N s32\,\text{N\,s} (b) 20 N s20\,\text{N\,s} (c) 24 N s24\,\text{N\,s} (d) 28 N s28\,\text{N\,s}

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