The car takes 10.8 seconds to reach a velocity of 42.1 m/s
Explanation:
The motion of the car is at constant acceleration, so we can use the following suvat equation:
![v=u+at](https://tex.z-dn.net/?f=v%3Du%2Bat)
where
v is the final velocity of the car
u is its initial velocity
a is the acceleration
t is the time
For the car in this problem, we have:
u = 15.0 m/s
v = 42.1 m/s
![a=2.50 m/s^2](https://tex.z-dn.net/?f=a%3D2.50%20m%2Fs%5E2)
Solving for t, we find the time it takes for the car to reach that velocity:
![t=\frac{v-u}{a}=\frac{42.1-15.0}{2.50}=10.8 s](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bv-u%7D%7Ba%7D%3D%5Cfrac%7B42.1-15.0%7D%7B2.50%7D%3D10.8%20s)
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