Chapter SH, Problem 2.4APP

To determine

To Calculate: The acceleration of the car.

Answer to Problem 2.4APP

The acceleration of the car is $\text{0}{\text{.5 m/s}}^2$ east.

Explanation of Solution

Given data:

The initial velocity of the car $=0\text{ m/s}$

The final velocity of the car $=30\text{ m/s east}$

The time taken by the car to accelerate $=1\min$

Formula used:

  $\text{acceleration}=\frac{\text{change in velocity}}{\text{time}}$

Calculation:

As per the problem,

The initial velocity of the car $=0\text{ m/s}$

The final velocity of the car $=30\text{ m/s east}$

Change in velocity = final velocity − initial velocity $=30\text{ m/s}-0\text{ m/s}=30\text{ m/s}$ east.

Time $=1\min =60\text{ s}$

Putting the values of change in velocity and time in the acceleration-formula

  $\begin{array}{l}\text{acceleration}=\frac{\text{change in velocity}}{\text{time}}\\ \text{acceleration}=\frac{30\text{ m/s}}{\text{60 s}}=0.5{\text{ m/s}}^2\end{array}$

Conclusion:

The acceleration of the car is $\text{0}{\text{.5 m/s}}^2$ east.