Answer: the car's acceleration is 5.476 m/s^2
Step-by-step explanation:
We want to calculate the centripetal acceleration of the car. The formula for calculating centripetal acceleration is expressed as
A = V^2/R
where
A = centripetal acceleration
V is the velocity of the car
R is the radius of the car
From the information given,
V = 37 m/s
R = 250m
By substituting these values into the formula,
A = (37 m/s)^2/250m
A = 1369m^2/s^2/250m
A = 1369/250 * m^2/ms^2
the m would cancel out. One m remains in the numerator. Thus,
A = 5.476 m/s^2
the car's acceleration is 5.476 m/s^2