1. A truck filled with supplies sets out across the country at 9:00 A.M. It is traveling at a constant speed of 80.0 km/h. Two hours later, a train starts out from the same location with similar supplies going to the same destination. The train is traveling at a constant speed of 110 km/h.
a. On the same axis, draw the position-time graphs for both the truck and the train.
b. Use the graph to determine the approximate time at which the train will pass the truck.
c. Calculate the exact time the train will pass the truck (y=mx+b)
d. At. 9:00 P.M., how far apart are the train and the truck?
2. Bill and Donna are playing outside when their mother calls them for lunch. Bill is 10.0 m from the house and can run at a speed of 12 km/h. Donna is faster, running at 14 km/h, but is 20.0 m from the house.
a. Draw a graph to determine who gets to the house first. Assume both Bill and Donna start running at the same time and maintain a constant speed.
b. How far away from the house would Bill have to be for both of them to arrive at the house at the same time?
c. Bill is 10.0 m south of the house while Donna is 20.0 m west of the house when their mother calls. Do these positions affect the answers to parts a and b?