95
Problem 3.
Homework Problems
Homework Problems
1 . The graph represents the velocity of a bee along a straight line. At t=0,
the bee is at the hive. (a) When is the bee farthest from the hive. (b) How
far is the bee at its farthest point from the hive. (c) At t=13 s, how far is the
bee from the hive. [Hint: Try problem 19 first.]
1
02345678910111213
time (s)
0
-1
1
2
3
4
5
6
7
8
velocity
(m/s)
2. A rock is dropped into a pond. Draw plots of its position versus time,
velocity versus time, and acceleration versus time. Include its whole motion,
starting from the moment it is dropped, and continuing while it falls
through the air, passes through the water, and ends up at rest on the bottom
of the pond.
3. In an 18th-century naval battle, a cannon ball is shot horizontally, passes
through the side of an enemy ship's hull, flies across the galley, and lodges
in a bulkhead. Draw plots of its horizontal position, velocity, and accelera-
tion as functions of time, starting while it is inside the cannon and has not
yet been fired, and ending when it comes to rest. There is not any signifi-
cant amount of friction from the air. Although the ball may rise and fall,
you are only concerned with its horizontal motion, as seen from above.
4. Draw graphs of position, velocity, and acceleration as functions of time
for a person bunjee jumping. (In bunjee jumping, a person has a stretchy
elastic cord tied to his/her ankles, and jumps off of a high platform. At the
bottom of the fall, the cord brings the person up short. Presumably the
person bounces up a little.)
5. A ball rolls down the ramp shown in the figure, consisting of a curved
knee, a straight slope, and a curved bottom. For each part of the ramp, tell
whether the ballís velocity is increasing, decreasing, or constant, and also
whether the ballís acceleration is increasing, decreasing, or constant. Explain
your answers. Assume there is no air friction or rolling resistance. Hint: Try
problem 20 first. [Based on a problem by Hewitt.]
SA solution is given in the back of the book.A difficult problem.
A computerized answer check is available.
.
A problem that requires calculus.
Problem 5.
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