HILL AND DIPS: ACTIVITY 1 1. The steeper ramp yields the greatest velocity when leaving the table. 2. The greater the speed over the hill the flatter, more spread out, the hill must become. See page 22 in the text for the other parts of the solution. HILL DESIGN: ACTIVITY 1 Draw the results below. HILL DESIGN: ACTIVITY 2 1-3 For the hill where the car becomes airborne, the hill width will be shorter than the hill where the car does not become airborne. 4 The car will become airborne over the hill because it will be traveling too fast. And the hill needs to be the same shape as if there were no track, a parabola. 5 The car will become airborne over hill B. The two hills are the same height. The steeper the drop off on the right side of the hill the slower the car needs to go. This is because hill B is the slow ball’s path (shown in Activity 1.) LOOP DESIGN: ACTIVITY 1 The starting height for the klothoid loop will be lower than the starting height for the circular loop. The advantage of the klothoid loop's design is that the roller coaster car does not have to be going as fast to stay on the track when the car is upside down. FREE FALL (Weightlessness): ACTIVITY 1 Why doesn’t the water come out of the holes when it is dropped? The water comes out of the holes when the cup is standing still and the water is allowed to accelerate down relative to the cup. When the cup is dropped, it is accelerating down at the same rate as the cup. The cup has no reaction force holding it up and the water stays in. PRACTICING YOUR "ESTIMATIONS" MEASURING THE VELOCITY OF A MOVING OBJECT

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