You drive a car 1200 m due south for 20 min, then 1500 m at 30degrees west of south for 30 min, and finally 1050 m at 50 degrees north of west for 40 min.
a. Sketch the three displacement vectors and the resultant displacement vector on an x-y coordinate system.
b. Calculate the resultant displacement vector in unit-vector notation for the entire trip.
c. Calculate the magnitude and direction of the resultant displacement vector.
d. Calculate the average speed of the car for the entire trip.
e. Calculate the average velocity in unit-vector notation of the car for the entire trip.