Kinematics Demo – Ultrasonic locator Graph representation.

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Presentation transcript:

Kinematics Demo – Ultrasonic locator Graph representation

Kinematics Position Displacement  x= x 2 - x 1 Speed = distance traveled / time elapsed Velocity = displacement / time elapsed v = (x 2 - x 1 )/(t 2 - t 1 ) =  x/  t Instantaneous velocity v = lim  x/  t  t 0

Acceleration Average Acceleration a =  v/  t Instantaneous Acceleration a = lim  v/  t  t 0

Position as a function of time. Calculate the average velocity from such a graph?

Position and velocity as a function of time. Position as a function of time. Calculate the instantaneous velocity from such a graph.

Velocity and Position as a function of time. Velocity as a function of time. How to calculate the displacement from such a graph?

Velocity as a function of time. Calculate the average velocity from such a graph.

Velocity and acceleration as a function of time. Velocity as a function of time. Calculate the average and instantaneous acceleration from such a graph.

Position, velocity and acceleration as a function of time. A simple example: The motion with constant acceleration

Q1. Distance and Displacement A person travels from one point A in space to another B. The magnitude of the displacement is: 1.either greater than or equal to 2.always greater than 3.always equal to 4.either smaller than or equal to the distance traveled.

Q2: Velocity and displacement When the velocity decreases from +5m/s to zero, the displacement is 1)zero; 2)positive; 3) negative; 4) undecided.

Q2. Velocity and acceleration 1.If one is positive the other one has to be positive. 2.If one is equal zero at some time t, the other has to be zero. 3.Their signs are independent. 4.Acceleration is always smaller then velocity.