Question

A car initially at rest undergoes uniform acceleration for 6.32 seconds and covers a distance of 120 meters. What is the approximate acceleration of the car?

Answer 1

In order to answer this problem, let's consider the equations for distance:
Distance = Vi (t) * (1/2) at²
Where Vi is initial velocity, t is time, and a is acceleration
We know acceleration is uniform, so a is just a constant, and initital velocity is zero.
Therefore:
Distance = 0 + (1/2)a*t²
We can plug in Distance and time to find acceleration
120 = (1/2) *6.32² * a
120 = (1/2) * 39.95 * a Divide both sides by 39.95/2 (19.97)
6 = a
We get a value of approximately 6 for acceleration.