Question

A car accelerates from rest with a constant acceleration of \( 2 \, \text{m/s}^2 \) for 5 seconds. Find the final velocity of the car.

• A. \( 5 \, \text{m/s} \)
• B. \( 10 \, \text{m/s} \)
• C. \( 15 \, \text{m/s} \)
• D. \( 20 \, \text{m/s} \)

Hint:

To find the final velocity of an object accelerating from rest, use the equation \( v = u + at \), where \( u \) is the initial velocity, \( a \) is the acceleration, and \( t \) is the time.

Answer 1

The Correct Option is B

We are given: - Initial velocity of the car \( u = 0 \, \text{m/s} \) (since the car starts from rest), - Acceleration \( a = 2 \, \text{m/s}^2 \), - Time \( t = 5 \, \text{s} \). We can use the following equation of motion to find the final velocity \( v \): \[ v = u + at \] Substituting the given values: \[ v = 0 + 2 \times 5 = 10 \, \text{m/s} \] Thus, the final velocity of the car is \( 10 \, \text{m/s} \).