Chapter 2, Problem 36R

To determine

To Choose: The correct option.

Answer to Problem 36R

Option (C) is the correct answer.

Explanation of Solution

Formula used:

The equation of motion is,

  $v=u+at$ ........ (1)

Here, $v,u$ , $t$ and $a$ are final velocity, initial velocity, time and acceleration.

Calculation:

Rearranging the equation (1),

  $a=\frac{v-u}{t}$ ........ (2)

From the above equation, it is evident that the change in speed is expressed in m/s and time in s. So, the unit of acceleration would be

  $\begin{array}{l}{a}_{\text{unit}}=\frac{\text{m/s}}{\text{s}}\\ \boxed{a_{\text{unit}}={\text{m/s}}^{\text{2}}}\end{array}$

So, the option (A), (B) and (D) are wrong.

Conclusion:

Hence, the unit of acceleration is $\boxed{a_{\text{unit}}={\text{m/s}}^{\text{2}}}$ .