1. A car undergoes a displacement of 500m due east, followed by another displacement due south of 1200m.

a) Calculate the total distance traversed by the car.

b) Calculate the total displacement of the car.

2. If the car in problem 1 traveled at 36.0km/h during the first part of the trip and at 90.0km/h during the remainder,

a) Calculate the average speed for each part of the trip.

b) Calculate the average velocity for each part of the trip.

c) Calculate the time for each part of the trip.

d) Calculate the average speed for the whole trip.

e) Calculate the average velocity for the whole trip.

f) Calculate the instantaneous speed of the car as it passes the 1km point of the trip.

g) Calculate the average velocity of the car as it passes the 1km point of the trip.

3. Calculate the average velocity required for the car in problem 2 to return to its starting point in the shortest possible distance in 98.0s.

4. If the car in problem 1 traverses the first part of the trip at 36.0km/h and then accelerates uniformly during the second part until it reaches 144km/h at the end,

a) Calculate the rate of acceleration for the second part of the trip.

b) Calculate the average velocity for the second part of the trip.

c) Calculate the average velocity for the whole trip.

5. If the car in problem 4, traveling at 144km/h, started back to its starting point in a staight line and decelerated uniformly to reach it as its velocity goes to zero,

a) Calculate its acceleration for the return trip.

b) Calculate its average velocity for the return.

c) Calculate the time for the return.

d) Calculate the average velocity for all three legs of the trip.