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1. An ant is crawling along a straight wire, which we shall call the x-axis, from A to B to C to D (which overlaps A), as shown in the figure below. (Figure 1) O is the origin. Suppose you take measurements and find that AB is 29 cm, BC is 12 cm, and AO is 5 cm.

What is the ant's position at point A? B? C? D?

2. During an auto accident, the vehicle's air bags deploy and slow down the passengers more gently than if they had hit the windshield or steering wheel. According to safety standards, the bags produce a maximum acceleration of 60g, but lasting for only 31 ms (or less).

How far does a person travel in coming to a complete stop in 31 ms at a constant acceleration of 60g? Express the answer in meters.

3. The drivers of two cars having equal speeds hit their brakes at the same time, but car A has four times the acceleration as car B.

a) If car A travels a distance D before stopping, how far (in terms of D) will car B go before stopping? Express the answer as a multiple of D as an integer.

b) If car B stops in time T, how long (in terms of T) will it take for car A to stop? Express the answer as a multiple of T using two significant figures.

4. Astronauts on our moon must function with an acceleration due to gravity of 0.165g.

a) If an astronaut can throw a certain wrench 15.0 mm vertically upward on earth, how high could he throw it on our moon if he gives it the same starting speed in both places? Express the answer in meters.

b) How muchlonger would it be in motion (going up and coming down) on the moon than on earth? Express the answer in seconds.