Answer:
[tex]0.27 m/s^2[/tex]
Explanation:
The power supplied by the engine is given by
P = Fv
where
F is the force applied
v is the velocity of the car
Here we have
P = 3700 W
v = 14.2 m/s
So we can solve the equation to find the average force:
[tex]F=\frac{P}{v}=\frac{3700 W}{14.2 m/s}=260.6 N[/tex]
The net force applied on the car is also equal to
F = ma
where
m = 960.0 kg is the mass of the car
a is the acceleration
Re-arranging the equation, we find the acceleration:
[tex]a=\frac{F}{m}=\frac{260.6 N}{960.0 kg}=0.27 m/s^2[/tex]