a car rounds a curve with a radius of 45.0 m at a speed of 22.0 m/s. What is the centripetal acceleration of the car? please show work

a=v^2/r=(22^2)/45

To find the centripetal acceleration of the car, we can use the formula:

a = (v^2) / r

where:
a = centripetal acceleration
v = velocity
r = radius of the curve

Given:
v = 22.0 m/s
r = 45.0 m

Substituting the values into the formula:

a = (22.0 m/s)^2 / 45.0 m

Calculating:

a = 484.0 m^2/s^2 / 45.0 m

Simplifying:

a = 10.7556 m/s^2

Therefore, the centripetal acceleration of the car is approximately 10.76 m/s^2.