Section 13 - Interactive problem: test your juggling!
13.1 If the juggler in the simulation in the interactive problem in this section wants to throw the balls with a horizontal velocity of
1.1 m/s, what should the vertical velocity be?
m/s
13.2 If the juggler in the simulation in the interactive problem in this section wants the balls to remain in the air for 1.4 seconds, (a)
what should the vertical velocity be? (b) What should the horizontal velocity be?
(a) m/s
(b) m/s
Section 15 - Relative velocity
15.1 Agent Bond is in the middle of one of his trademark, nearly impossible getaways. He is in a convertible driving west at a
speed of 23.0 m/s (this is the reading on his speedometer) on top of a train, heading toward the back end. The train is moving
horizontally, due east at 15.0 m/s. As the convertible goes over the edge of the last train car, Bond jumps off. With what
horizontal velocity relative to the convertible should he jump to hit the ground with a horizontal velocity of 0 m/s, so that he
merely shakes, but does not spill (nor stir) his drink? Consider east to be the positive direction.m/s15.2 A boat is moving on Lake Tahoe with a velocity (6.5, 9.5) m/s relative to the water. However, a strong wind is causing the
water on the surface to move with velocity (í4.5, í2.5) m/s relative to the land, and this velocity must be added to the boat's.
What is the velocity of the boat, as seen from a skateboarder on the shore with a velocity of (3.5, í0.70) m/s relative to the
land?
( , ) m/s