Solution: A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by v = [5.00 m/s - (0.0180 m/s3 )t2 ]i + [2.00 m/s + (0.550 m/s2 )t]j.(a) What is ax(t

A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by **v** = [5.00 m/s - (0.0180 m/s^{3} )t^{2} ]i + [2.00 m/s + (0.550 m/s^{2} )t]j.

(a) What is a_{x}(t), the x-component of the acceleration of the car as function of time?

(b) What is a_{y}(t), the y-component of the acceleration of the car as function of time?

(c) What is the magnitude of the velocity of the car at t =7.01 s?

(d) What is the direction (in degrees counterclockwise from +x-axis) of the velocity of the car at t=7.01 s?

(e) What is the magnitude of the acceleration of the car at t =7.01 s?

(f) What is the direction (in degrees counterclockwise from +x-axis) of the acceleration of the car at t=7.01 s?