Three objects of uniform density- a solid sphere, a solid cylinder, and a hollow cylinder- are placed at the top of an incline. they are all released from rest at the same elevation and roll without slipping. which object reaches the bottom first? which reaches it last? try this at home and note that the result is independent of the masses and the radii of the objects.

In the middle of the night you are standing a horizontal distance of 14.0 m from the high fence that surrounds the estate of your rich uncle. the top of the fence is 5.00 m above the ground. you have taped an important message to a rock that you want to throw over the fence. the ground is level, and the width of the fence is small enough to be ignored. you throw the rock from a height of 1.60 m above the ground and at an angle of 54.0 degrees above the horizontal. part a part complete what minimum initial speed must the rock have as it leaves your hand to clear the top of the fence? express your answer with the appropriate units. part b for the initial velocity calculated in the previous part, what horizontal distance beyond the fence will the rock land on the ground?