Chapter 3, Problem 100A

To determine

To identify: Whether car or bike will have greater acceleration.

Answer to Problem 100A

Acceleration of both car and bike is same.

Explanation of Solution

Given:

In the same time, speed of the car increases from 50 km/hr to 60 km/hr while the speed of the bike increases from 0 km/hr to 10 km/hr in same time as car.

Formula used:

Acceleration is the rate of change of velocity with respect to time and is given by,

  $a=\frac{v-u}{t}$

Where,

a is acceleration

u is initial velocity

v is final velocity

t is time taken to reach from initial to final velocity.

Calculation:

Let car takes time t to increase the speed from 50 km/hr to 60 km/hr

So acceleration of the car is,

  $\begin{array}{c}a=\frac{60-50}{t}\\ =\frac{10}{t}{\text{ m/sec}}^2\end{array}$

As time taken by bike and car is same.

So acceleration of bike in increasing the speed from 0 km/hr to 10 km/hr is

  $\begin{array}{c}a=\frac{10-0}{t}\\ =\frac{10}{t}{\text{ m/sec}}^2\end{array}$

The value of acceleration in both the cases is same and equal to $\frac{10}{t}{\text{ m/sec}}^2$ .

Conclusion:

Therefore, acceleration of both car and bike is same.