Chapter 2, Problem 6Q

To determine

The comparison of acceleration of a motorcycle and a bicycle.

Answer to Problem 6Q

Solution:

The acceleration of both the motorcycle and the bicycle is the same.

Explanation of Solution

Given:

Initial velocity of motorcycle, $v_{mi}=80\text{ km/h}$

Final velocity of motorcycle, $v_{mf}=90\text{ km/h}$

Initial velocity of bicycle, $v_{bi}=0$

Final velocity of bicycle, $v_{bf}=10\text{ km/h}$

Formula Used:

The acceleration is a change in velocity over time that is

  $A=\frac{\left(v_f-v_i\right)}{t}$

Where, $v_f$ is the final velocity, $v_i$ is the initial velocity and t is the time.

Calculations:

For motorcycle:

  $\begin{array}{l}{A}_m=\frac{\left(v_m{}_f-v_{mi}\right)}{t}\\ A_m=\frac{\left(90-80\right)}{t}\\ A_m=10/t\end{array}$

For bicycle:

  $\begin{array}{l}{A}_b=\frac{\left(v_b{}_f-v_{bi}\right)}{t}\\ A_b=\frac{\left(10-0\right)}{t}\\ A_b=10/t\end{array}$

Conclusion:

Thus, both motorcycle and the bicycle have same 10km/hr change in velocityin the same time interval ( t ).