[A] A ball is released at the bottom of a container of liquid. The ball rises upward, pops out of

the liquid and reaches a height of 20.0 cm. above the liquid level, moving through a near

vacuum. The experiment is carried out on Earth and the time from the ball’s release to the

moment when it reaches its maximum height is 0.70 seconds.

1) Calculate the velocity of the ball when it leaves the liquid.

2) Determine the average acceleration in the liquid, assuming it to be constant.

3) Determine the depth of the liquid from the motion of the ball and the time.

Relative motion

[B] With government cutbacks, astronauts must train for docking maneuvers with computerized

go-carts and diesel trucks. The carts are controlled by the driver using a computer console much

like the one for the spaceship they are training for. The diesel moves at 16 m/s on the roadway

and the go-cart starts out at 12 m/s and 50 meters behind the diesel. The idea is to enter a

program which will get the cart up the ramp and into the trailer to stop in the "docking zone" in

240 seconds. See the video for a visual of the process:

http://www.youtube.com/watch?v=dYlstdCWzCY

The program steps consist of a velocity or acceleration and a duration in seconds. The distance

from the end of the ramp to the docking spot is 5 meters and the cart's velocity is relative to the

surface the wheels are on.

2d and circular motion

[C] Evel Knievel's younger cousin, Naughty McSnotty, is attempting to jump a 20 meter wide

trench. The ramp on the far side is 30 degrees above horizontal and he wants to land his

motorcycle on the ramp with a velocity parallel to its surface.

Determine the angle of launch and the initial velocity necessary for this (without air resistance).

If he is to then go through a vertical circular track, calculate the diameter of the largest loop he

will make it through, assuming he coasts to the top and the average effective resistance force can

be taken to be 180 Newtons. Use a combined mass of 400 kg for Naughty and his bike.

20 m

30°

Θ

v=?

Find v and Θ, such that the person lands on the flat part of the ground.

Max. Diameter of Loop?