Chapter 3, Problem 3.8E

CALC A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by $\stackrel{\to }{v}=[500\text{ m/s }-\text{ (0}{\text{.0180 m/s}}^{\text{3}}\text{)}{t}^{\text{2}}]\hat{i}\text{ + [2}\text{.00 m/s + (0}{\text{.550 m/s}}^{\text{2}}\text{)}t\text{]}\hat{\text{j}}$. (a) What are a_x(t) and a_y(t), the x- and y-components of the car’s velocity as functions of time? (b) What are the magnitude and direction of the car’s velocity at t = 8.00 s? (b) What are the magnitude and direction of the car’s acceleration at t = 8.00 s?