A Car Accelerating Uniformly to 72 km/hr

Calculation of Car Acceleration and Time Taken

A car starts from rest and accelerates uniformly to a speed of 72km/hr over a distance of 500m.

Find the acceleration of the car and time taken to attain this speed.

Acceleration (a) = 0.4 m/s^2

Time (t) = 50 s

Explanation:

First, convert the final speed of 72 km/hr to m/s by multiplying it by (1000 m / 1 km)(1 hr / 3600s).

Then, use the formula: (v final)^2 = (v original)^2 + 2*a*d; Since the initial velocity is 0, the formula simplifies to 20^2 = 2*a*500. Solving for acceleration gives a = 0.4 m/s^2.

For the time taken, acceleration (a) can be calculated using the formula a = change in speed / t, which simplifies to 0.4 = 20 / t. Solving for time gives t = 50 seconds.