Question

If force F =(500 - 100)t, then impulse as a function of time will be:-

• A. $500t-50t^2$
• B. $50t-10$
• C. $50-t^2$
• D. $100t^2$

Answer 1

The correct option is A $500t-50t^2$

We know that force is given as $F=\frac{dP}{dt}$

so impulse $dP$ is given as $dP=Fdt$

putting value of $F$ and integrating both sides we get $\int dP=\int (500-100t)dt$

or $P=500t-50t^2+c$ , $c$ is an integration constant.

as the $P$ is here the $momentum$ supplied or abstracted so $c=0$