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
400 m/s2
d
-4 m/s2
To calculate the acceleration, we can use the formula you provided:
\[
acceleration = \frac{v_{final} - v_{initial}}{time}
\]
Given that the car starts at rest, its initial velocity \(v_{initial}\) is 0 m/s. The final velocity \(v_{final}\) is given as 40 m/s, and the time \(time\) over which the acceleration occurs is 10 s.
Plugging in the numbers, the acceleration \(a\) can be calculated as:
\[
a = \frac{40 \, m/s - 0 \, m/s}{10 \, s} = \frac{40 \, m/s}{10 \, s} = 4 \, m/s^2
\]
Thus, the acceleration of the car is 4 m/s^2, which corresponds to option (a).