Homework Problem Set 1

Homework Problem Set 1

Homework due by 12:00 pm on Wednesday September 5.

Partial credit may be given even if the final answer is incorrect so please show all work!

Question 1 (1 point)

What is the general relationship between velocity and position? What is the general relationship between velocity and acceleration?

Question 2 (3 points)

Space Commander Zaxnar is sitting in a stationary hovercraft35.2 m above the surface of the mysterious planet Grwxyp. The acceleration due to gravity at the Grwxypian surface is 5.67 m/s2 down.Zaxnar throws a probe at an angle 20° up from south with an initial speed of 2.13 m/s. How long does it take for the probe to hit the Grwxypian surface? With what speed does the probe hit the surface? How far south of the hovercraft does it land? Ignore any wind resistance.

Question 3 (3 points)

When Commander Zaxnar’s probe hits the surface of Grwxyp, it triggers a tractor beam which is part of the Grwxypian defense system. The tractor beam causes Zaxnar’s hovercraft to accelerate to the west. The magnitude of that acceleration is given by the formula:

a(t) = 4.25 m/s2+ (0.225 m/s3)×t

wheret is the time from the turning on of the tractor beam.

What is Zaxnar’s velocity at t = 4.32s?At t = 4.32s what is his position relative to his position at t = 0?

Question 4 (3 points)

The Gravitron is an amusement park ride; it is made up of a large cylinder with diameter 12.5 m which rotates in a clockwise direction looking down from above. As the Gravitron rotates the people inside get “stuck” to the outer wall. How much time would a single rotationof the Gravitronneed to takein order for the people inside to experience acceleration towards the middle which is twice that of a freely falling object on the surface of the earth?