Projectile Motion

1.   A ball is rolled off a table with an inital speed of 0.24 ms^-1. A stopwatch measures the ball's trajectory time from table to the floor to be 0.3 s. What is the height of the table?

2. A toy car launched horizontally from a table top 1.0 m above the floor (click here to see the diagram), hits the floor a horizontal distance 1.0 m from the edge of the table (click here to see the diagram). The launch speed of the car was:
A 0.20 ms^-1 B 2.2 ms^-1 C 4.9 ms^-1 D 9.8 ms^-1

3. A projectile is projected with a speed of 30 m/s at an angle of 60⁰ to the horizontal. Calculate the a) maximum height it will reach, b) the time of flight, and c) the range of the projectile.

4. A zookeeper finds an escaped monkey holding a banana on a branch of a tree. Aiming her tranquilizer gun at the monkey, the zookeeper kneels at a distance of “R” m from the branch which is “H” m high. The monkey tries to trick the zookeeper by dropping a banana, then continues to sit on the branch of the tree. At the moment the monkey releases the banana, the zookeeper shoots. If the tranquilizer dart travels at “u” m/s, will the dart hit the monkey, the banana, or neither one?

9.   The determined coyote is out once more to try to capture the elusive road runner. The coyote wears a pair of Acme jet-powered roller skates which provide a constant horizontal acceleration of 1.5 ms^-2. The coyote starts off at rest 70 m from the edge of the cliff at the instant the road runner zips by in the direction of the cliff.

a. If the road runner moves with constant speed, determine the minimum speed he must have in order to reach the cliff before the coyote.

b. If the cliff is 100m above the base of the canyon, determine where the coyote lands in the canyon (assume his skates are operating while he is in flight)

c. Determine the coyote's velocity components just before he lands in the canyon. (As usual the road runner is saved by making a sudden turn off the cliff)

10.   A man is hanging christmas lights on the roof and falls off. He starts from rest at the top of the roof which is 8 meters in length and accelerates at the rate of 5 ms^-2. The edge of the roof is 6 meters above a soft snow bank which the guy lands on, the angle on the roof, is 37⁰.
a.) what are his vertical components when he reaches the snow bank,
b.)the total time in motion,
c.)the distance between the house and the point where he lands in the snow.