A Saturn V rocket’s powerful boosters are capable of producing a powerful upward acceleration. During a test run of a similar rocket, NASA launches a prototype vertically upward on a calm day (no wind), burning fuel and producing a roughly constant acceleration until it reaches an upward speed of 722 m/s. After the engines shut off, the rocket begins to freefall, eventually coming back down to the earth after reaching a maximum height of 123 km. Ignoring air resistance,     a)   How far from the ground was the rocket when its boosters turned off and it began to freefall? b)   What was the prototype rocket’s upward acceleration while its boosters were firing? c)   For how long were the boosters firing? d)   For what total time is the rocket in the air before striking the ground?   

An object, starting from rest at x0=0 m, and moving in a straight line (labelled by the coordinate x), moves according to the following acceleration versus time graph: a)   Sketch a graph of the objects velocity vs. time. Label your axes clearly and identify any important points on the graph.  b)   What is the objects change in velocity over the first 10 seconds of its motion? c)   At what times, if any, is the object moving with a constant speed? At what time(s) does the object switch its direction of motion? d)   What is the objects total displacement over the first 8 seconds of its motion?

You are rowing your boat in order to cross a river with a fast moving current which flows eastward. You angle the bow (front) of the boat in order to reach a point due north directly across the shore from you and begin to row at 4 m/s. If the current in the river has a speed of 2 m/s, you should angle the bow of the boat 

Bob and Sally are on a merry-go-round of radius which is rotating with a constant angular speed. If Bob is halfway from the center of the merry-go-round at , while Sally is at its edge a distance  from its center, which of the following statements is true?

Make-ups are not allowed during the last week of classes and during the time of final exam until the end of the semester.

Your class CRN is:

A student simplified and got . What mistake did the student make?

[DOK 1 | Standard N.RN.2] (Multiple Choice)Evaluate: 

Evaluate   Show the two different ways you can calculate this step-by-step (taking the root first vs. taking the power first).

If , explain how you could use fractional exponents to solve for b. Show your steps to prove why b = 3.