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/s2)t^2 ]i+[2.00 m/s + (0.550 m/s2)t ]j .
a) What are ax(t) and ay(t), the x- and y- components of the velocity of the car as functions ?
b) What are the magnitude and direction of the velocity of the car at t= 8.00 s?

Question

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/s2)t^2 ]i+[2.00 m/s + (0.550 m/s2)t ]j .
a) What are ax(t) and ay(t), the x- and y- components of the velocity of the car as functions ?
b) What are the magnitude and direction of the velocity of the car at t= 8.00 s?

anonymous · Answer

Part (a):
$$x(t)=\int\limits\limits\limits_{}^{}v_i(t)dt$$
$$y(t)=\int\limits\limits_{}^{}v_j(t)dt$$
Remember how do do those integrals?