Position vs. Time, Velocity vs. Time and Acceleration vs. Time Graphs Misconceptions some of you currently have: I. It is possible for the position vs. time graph and the velocity vs. time graph depicting the same motion to look exactly the same. True or False? Draw three examples of different types of motion to explain: speeding up in the positive direction, slowing down in the negative direction, moving at a constant velocity in the negative direction

II. If the slope of a velocity vs. time graph is positive, then the object is moving in the positive direction. True or False? Draw a velocity vs. time graph with a positive slope that illustrates your point.

III. If the velocity of an object is changing, the object can have a zero acceleration. True or False? Explain.

IV. If the velocity of an object is changing, the position vs. time graph can be a straight line. True or False? Draw the position vs. time graph for an object slowing down in the positive direction and the position vs. time graph for an object speeding up in the negative direction to illustrate your point.

a. If an object has a non-zero acceleration, than the position vs. time graph cannot be a straight line. True or False? Explain.

V. When the slope of a position vs. time graph is 0, the object is not moving. True or False? Draw a position vs. time graph to explain. Point out on the graph where the slope of the line is 0.

a. When the slope of a velocity vs. time graph is 0, the object is not moving. True or False? Explain. Draw a velocity vs. time graph to back up your explanation.

b. Draw the position vs. time graph and a velocity vs. time graph for a ball thrown straight up in the air. Depict the motion from the point that the ball leaves your hand to the point that it reaches its maximum height.

c. Draw the position vs. time graph and velocity vs. time graph for an object that is dropped from rest (you stepping off the roof of Tech).

VI. A positive slope on a position vs. time graph means that the object is speeding up. True or False? Draw examples to illustrate your point.

VII. The graph below depicts an object moving in the negative direction. True or False? Explain.

a. The acceleration of the object is negative. True or False? How do you know?

VIII.

Object A is clearly moving faster than B. True or False. Explain

IX. Object B starts off moving slower than object A, but is gradually speeding up and eventually is moving faster than object A. True or False? Explain.

X. Youâ&#x20AC;&#x2122;re holding a ball in your hand. What do you do with the ball to produce a velocity time graph like the one you see to the left? Explain.

XI. Draw the position time graph and acceleration time graph representing the motion from question X. Explain the graphs.

XII. Imagine you live in Bizzarro World where the acceleration due to gravity is up and not down. You throw a ball down off a cliff. Draw the position vs. time, velocity vs. time and acceleration vs. time graphs from the point in time that it leaves your hand to the point that it returns.

XIII.

What does an acceleration of + 5 m/s2 do to the velocity of an object?

a. If you kick a soccer ball up in the air with a velocity of 70 m/s, how long till it reaches its maximum height? Assume the acceleration due to gravity is â&#x20AC;&#x201C; 10 m/s2?

b. You step off the roof of tech, what is your velocity 4 seconds after you start falling?

Motion Graphs Post Quiz Review

This document should help you prepare for the upcoming motion quiz