Position, Velocity , and Acceleration

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

2. Important Terms • PositionFunction gives the location of an object at time t, usually s(t), x(t), or y(t) • VelocityFunction 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. • AccelerationFunction the rate of change (derivative) of velocity, usually a(t) • Initial Positionstarting position (at ), • Initial Velocitystarting velocity (at ), • Speed the absolute value of velocity • Displacementthe net change in position, (final pos. original pos.) • Total Distancetotal distance traveled by the object in the time interval (takes into account all direction changes)

3. 5) Use the position function 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. 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. 5) e) When is the object at rest? f) When is the object moving right?

6. 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. 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.