UPSC NDA I 2016 General Ability Solved Paper

Concept:Acceleration is the rate of change of velocity with respect to time. Its SI unit is derived from the SI units of velocity and time.Explanation:The SI unit of velocity is metre per second ($m/s$).The SI unit of time is second ($s$).Acceleration is given by $a = \frac{\Delta v}{\Delta t}$, where $\Delta v$ is change in velocity and $\Delta t$ is change in time.Therefore, the unit of acceleration is $\frac{m/s}{s} = m/s^2$ (metre per second squared).Among the given options, $m/s$ is the unit of speed or velocity, not acceleration.$cm/s^2$ and $km/s^2$ are valid units but not SI units—the CGS unit is $cm/s^2$ and the SI unit is $m/s^2$.Hence, the correct SI unit is $m/s^2$.Answer:Option B: $m/s^{2}$