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

The car starts from rest ($ u = 0 $) and reaches a velocity of $ v = 20 \, \text{m/s} $ in $ t = 10 \, \text{seconds} $. Step 1: Apply the equation of motion For uniform acceleration, the relevant equation is: \[ v = u + at \] Substituting the provided values: \[ 20 = 0 + a \times 10 \] Step 2: Calculate the acceleration \[ a = \frac{20}{10} = 2 \, \text{m/s}^2 \] Answer: The car's acceleration is $ 2 \, \text{m/s}^2 $, corresponding to option (1).