Question

A car accelerates uniformly from rest to a velocity of \( 25 \, \text{m/s} \) in \( 10 \, \text{seconds} \). What is the acceleration of the car?

• A. \( 5 \, \text{m/s}^2 \)
• B. \(2.5 \, \text{m/s}^2 \)
• C. \( 10 \, \text{m/s}^2 \)
• D. \( 15 \, \text{m/s}^2 \)

Hint:

Remember: The equation \( v = u + at \) is useful for uniformly accelerated motion, especially when the initial velocity is zero.

Answer 1

The Correct Option is B

Determine the Car's Acceleration

The provided data is:

• Initial velocity (\( v_0 \)) = 0 m/s (car at rest)
• Final velocity (\( v_f \)) = 25 m/s
• Duration (\( t \)) = 10 seconds

Phase 1: Calculate velocity change

\[ \Delta v = v_f - v_0 = 25 \, \text{m/s} - 0 \, \text{m/s} = 25 \, \text{m/s} \]

Phase 2: Apply the acceleration formula

\[ a = \frac{25 \, \text{m/s}}{10 \, \text{s}} = 2.5 \, \text{m/s}^2 \]

Outcome:

The car's acceleration is \( 2.5 \, \text{m/s}^2 \).

Correct answer:

Option 2: 2.5 m/s²