Question:

A car initially at rest accelerates uniformly at 2 m/s² for a distance of 10 meters. Calculate the final velocity of the car.

a) 2 m/s b) 4 m/s c) 6 m/s d) 8 m/s

Answer:

The equation relating displacement, initial velocity, final velocity, acceleration, and time is:

Given: Initial velocity, $v_i = 0$ (as the car is initially at rest), Acceleration, $a = 2 \, \text{m/s}^2$, Displacement, $\Delta x = 10 \, \text{m}$.

Substituting these values into the equation:

Taking the square root of both sides:

Therefore, the final velocity of the car is approximately 6.32 m/s.

The correct answer is c) 6 m/s.