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Question 15

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

1 answer

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

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

Given that the car starts at rest, we have:

  • \( v_{initial} = 0 , \text{m/s} \)
  • \( v_{final} = 40 , \text{m/s} \)
  • \( time = 10 , \text{s} \)

Now plugging in the values:

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

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

The correct answer is:

a) 4 m/s²