Question

If a car in order to pass a truck speeds up uniformly from 45km/h to 70km/h in 8s what would be the acceleration of the car in meters per second squared?

Answer 1

To find the acceleration of the car, we need to first convert the speeds from km/h to m/s.

45 km/h = 45 * (1000 m / 1 km) / (3600 s / 1 h) = 12.5 m/s
70 km/h = 70 * (1000 m / 1 km) / (3600 s / 1 h) = 19.4 m/s

Next, we can use the formula of uniform acceleration:

acceleration (a) = (final velocity - initial velocity) / time

Here,
Initial velocity (u) = 12.5 m/s
Final velocity (v) = 19.4 m/s
Time (t) = 8s

acceleration (a) = (19.4 m/s - 12.5 m/s) / 8s
= 6.9 m/s / 8s
= 0.8625 m/s²

Therefore, the acceleration of the car is 0.8625 m/s².