Question

if a car starts at rest and accelerates to 40 m/s in a time of 10 s. What is the acceleration of the car?

\large acceleration=\frac{v_{final}-v_{initial}}{time}

a
4 m/s2

b
4 m/s

c
-4 m/s2

d
400 m/s2

Answer 1

To find the acceleration of the car, we can use the formula:

\[
\text{acceleration} = \frac{v_{\text{final}} - v_{\text{initial}}}{\text{time}}
\]

Given that:
- \( v_{\text{final}} = 40 \, \text{m/s} \)
- \( v_{\text{initial}} = 0 \, \text{m/s} \) (since the car starts at rest)
- \(\text{time} = 10 \, \text{s}\)

Substituting these values into the formula, we get:

\[
\text{acceleration} = \frac{40 \, \text{m/s} - 0 \, \text{m/s}}{10 \, \text{s}} = \frac{40 \, \text{m/s}}{10 \, \text{s}} = 4 \, \text{m/s}^2
\]

Thus, the acceleration of the car is \( 4 \, \text{m/s}^2 \).

The answer is **a. 4 m/s²**.