Exam 3: Kinematics in Two Dimensions

A motorcycle has a velocity of 24 m/s, due south as it passes a car with a velocity of 15 m/s, due north.What is the magnitude and direction of the velocity of the motorcycle as seen by the driver of the car?

3-1 During a one-hour trip, a small boat travels 80.0 km north and then travels 60.0 km east. -What is the boat's average speed during the one-hour trip?

A spring-loaded gun is aimed horizontally and is used to launch identical balls with different initial speeds.The gun is at a fixed position above the floor.The balls are fired one at a time. If the speed of the second ball fired is twice the speed of the first ball fired, how is the horizontal range (denoted R in the figure) affected?

3-12 A man at point A directs his rowboat due north toward point B, straight across a river of width 100 m.The river current is due east.The man starts across, rowing steadily at 0.75 m/s and reaches the other side of the river at point C, 150 m downstream from his starting point. -While the man is crossing the river, what is his velocity relative to the shore?

A delivery truck leaves a warehouse and travels 2.60 km north.The truck makes a left turn and travels 1.25 km west before making another right turn to travel 1.40 km north to arrive at its destination.What is the magnitude and direction of the truck's displacement from the warehouse?

3-4 A projectile fired from a gun has initial horizontal and vertical components of velocity equal to 30 m/s and 40 m/s, respectively. -What is the acceleration of the projectile when it reaches its maximum height?

3-5 A shell is fired with a horizontal velocity in the positive x direction from the top of an 80-m high cliff.The shell strikes the ground 1330 m from the base of the cliff.The drawing is not to scale. -What is the magnitude of the velocity of the shell as it hits the ground?

A baseball is hit upward and travels along a parabolic arc before it strikes the ground.Which one of the following statements is necessarily true?