Chapter 4, Problem 32A

Calculate the acceleration of a car (in km/h/s) that can go from rest to 100 km/h in 10 s.

To determine

Theacceleration of a car for a given velocity and time.

Answer to Problem 32A

The acceleration of the car is $10\text{km/h/s}$

Explanation of Solution

Given:

A car initially at rest accelerates to a final velocity of 100 km/h in 10 s.

Formula used:

The equation of motion which determines the acceleration of an object with an initial velocity and final velocity and for a given time is,

  $v=u+at$

Calculation:

Here the car starts from rest, its initial velocity is $u=0$ . The final velocity is given as $v=100\text{ km/h}$ . Therefore, the acceleration of the car in km/h/s for a duration of 10 s is given by,

  $\begin{array}{c}a=\frac{v}{t}\\ =\frac{100}{10}\\ =10\text{ km/h/s}\end{array}$

Conclusion :

The acceleration of the car for the given conditions is $10\text{ km/h/s}$ .