Question

A car accelerates uniformly from rest and attains a velocity of \( 20 \, \text{m/s} \) in 10 seconds. What is the acceleration of the car?

• A. \( 2 \, \text{m/s}^2 \)
• B. \( 1 \, \text{m/s}^2 \)
• C. \( 4 \, \text{m/s}^2 \)
• D. \( 5 \, \text{m/s}^2 \)

Hint:

When solving problems on uniform acceleration, use the equations of motion, such as \( v = u + at \), to find the unknown quantities.

Answer 1

The Correct Option is A

We are given that the car accelerates from rest (initial velocity \( u = 0 \)) and attains a velocity of \( v = 20 \, \text{m/s} \) in a time of \( t = 10 \, \text{seconds} \). Step 1: Use the equation of motion The equation of motion for uniform acceleration is: \[ v = u + at \] Substitute the given values: \[ 20 = 0 + a \times 10 \] Step 2: Solve for acceleration \[ a = \frac{20}{10} = 2 \, \text{m/s}^2 \] Answer: The acceleration of the car is \( 2 \, \text{m/s}^2 \), so the correct answer is option (1).