Physics - Center of Mass Question with Solution | TestHub

As we know, impulse is the area under the curve of the force vs. time graph. So, analysing each figure area under curve.

$\left(a\right) A_1=\frac{1}{2}\times 1.0\times 0.5=\frac{1}{4} \mathrm{N}‐\mathrm{s}$

$\left(b\right) A_2=0.5\times 2=1 \mathrm{N}‐\mathrm{s}$

$\left(c\right) A_3=\frac{1}{2}\times 1\times 0.75=\frac{3}{8} \mathrm{N}‐\mathrm{s}$

$\left(d\right) A_4=\frac{1}{2}\times 2\times 0.5=\frac{1}{2} \mathrm{N}‐\mathrm{s}$

From above calculations, area under curve in figure (b) is maximum. Thus, fig (b) impulse is highest.