1. Position, Velocity, and Acceleration
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Review- 3-C Continued

2. Important Terms
Position Function gives the location of an object at time t, usually s(t), x(t), or y(t)
Velocity Function the rate of change (derivative) of position, usually v(t) Velocity is positive for upward or rightward motion and negative for downward or leftward motion.
Acceleration Function the rate of change (derivative) of velocity, usually a(t)
Initial Position starting position (at ),
Initial Velocity starting velocity (at ),
Speed the absolute value of velocity
Displacement the net change in position, (final pos. original pos.)
Total Distance total distance traveled by the object in the time interval
(takes into account all direction changes)

3. 5) Use the position function
In feet of an object moving on a horizontal line
a) What is the initial position of the object?
b) What is the velocity of the object at t = 1 seconds?

4. c) What is the speed of the object at t = 1 second?5)
c) What is the speed of the object at t = 1 second?
d) What is the acceleration of the object at t = 1 second?

5. e) When is the object at rest?5)
e) When is the object at rest?
f) When is the object moving right?

6. g) When is the object moving left?5)
g) When is the object moving left?
h) When is the velocity of the object 54 ft/sec?

7. 5)
i) What is the displacement of the object between t = 0 and t = 2 seconds?
j) What is the total distance traveled by the object between
t = 0 and t = 2 seconds?

8. a) Was the car going faster at A or B?
6) The graph shows the position function of a radio controlled model car.
a) Was the car going faster at A or B?
When was the car stopped?
At which point was the car’s velocity the greatest?
At which point was the cars speed the greatest?

9. 7) Suppose a ball is thrown upward from the top of a cliff whose distance is given by
a) find the initial velocity

10. 7) Suppose a ball is thrown upward from the top of a cliff whose distance is given by
At what time does the ball hit the ground?

11. 7) Suppose a ball is thrown upward from the top of a cliff whose distance is given by
C) At what time does the ball reach its maximum height?

12. Home Work Worksheet 3-C on position, velocity and acceleration.
Use a section header for each of the topics, so there is a clear transition to the audience.
Worksheet 3-C on position, velocity and acceleration.