Calculation of acceleration of a car

To calculate the acceleration of a car, we need to know its change in velocity and the time taken for that change. In this case, we know that the car starts at rest and reaches a speed of 36 km/h in 20 seconds.

Conversion of units

However, we need to convert this speed to m/s as acceleration is measured in m/s². To do this, we need to use the conversion factor of 1 km/h = 0.2778 m/s. Therefore, 36 km/h = 10 m/s.

Application of formula

Now, we can use the formula for acceleration, which is acceleration = (final velocity - initial velocity) / time. In this case, the initial velocity is 0 m/s and the final velocity is 10 m/s. The time taken is 20 seconds. Therefore, the acceleration of the car can be calculated as:

acceleration = (10 m/s - 0 m/s) / 20 s
acceleration = 0.5 m/s²

Therefore, the acceleration of the car is 0.5 m/s².

Conclusion

In conclusion, the acceleration of a car can be calculated by using the formula acceleration = (final velocity - initial velocity) / time. It is important to ensure that the units are consistent and to convert them if necessary. In this case, we converted the speed from km/h to m/s before applying the formula to obtain the acceleration of the car.

Initial velocity (u) =0
Final velocity (v) = 36km/h --->10m/s
Time taken (t) =20 sec
Acceleration (a) =?
According to firdmst equation of motion ==>v=u+at
10=0+20a
10-0=20a
10/20=a
1/2=a
a=0.5 ANS