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Position, Velocity , and Acceleration. Review- 3-C Continued . Important Terms. Position Function gives the location of an object at time t , usually s ( t ), x ( t ), or y ( t )

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## Position, Velocity , and Acceleration

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**Position, Velocity, and Acceleration**Review- 3-C Continued**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)**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?**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? f) When is the object moving right?**5)**g) When is the object moving left? h) When is the velocity of the object 54 ft/sec?**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?**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?**7) Suppose a ball is thrown upward from the top of a cliff**whose distance is given by a) find the initial velocity**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?**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?**Home Work**Worksheet 3-C on position, velocity and acceleration.

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