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
400 m/s2

c
4 m/s

d
4 m/s2

1 answer

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

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

Given:

  • \( v_{\text{initial}} = 0 \) m/s (the car starts at rest)
  • \( v_{\text{final}} = 40 \) m/s
  • \( \text{time} = 10 \) s

Now, plug in the values into the formula:

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

Thus, the acceleration of the car is:

\[ \text{acceleration} = 4 , \text{m/s}^2 \]

The correct answer is \( \text{d} , 4 , \text{m/s}^2 \).