If the force $\vec{F} = (60\hat{i} + 15\hat{j} - 3\hat{k}) \, N$ and the velocity $\vec{v} = (2\hat{i} - 4\hat{j} + 5\hat{k}) \, m/s$,then what is the instantaneous power in Watts?

The power utilized when a force of $(2 \hat{i}+3 \hat{j}+4 \hat{k}) \text{ N}$ acts on a body for $4 \text{ s}$, producing a displacement of $(3 \hat{i}+4 \hat{j}+5 \hat{k}) \text{ m}$, is (in $\text{ W}$)

$A$ constant force $F$ acts on a body of mass $m$ initially at rest. Which of the following graphs correctly represents the variation of the power $P$ developed with time $t$?

What average horsepower is developed by an $80 \; kg$ man while climbing in $10 \; s$ a flight of stairs that rises $6 \; m$ vertically?

$A$ man $M_1$ of mass $80 \ kg$ runs up the stairs with a box in $15 \ s$. Another man $M_2$ of the same mass $80 \ kg$ runs up the same stairs with the same box in $20 \ s$. Find the ratio of the power generated by them.

$A$ particle of mass $m$ is driven by a machine that delivers a constant power $k$ watts. If the particle starts from rest,the force on the particle at time $t$ is: