5.3: Position, Velocity and Acceleration. Warm-up (Remember Physics) m sec Find the velocity at t=2.

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Presentation transcript:

5.3: Position, Velocity and Acceleration

Warm-up (Remember Physics) m sec Find the velocity at t=2.

Is speed the same as velocity? What does a negative and positive velocity mean? So what is the slope (derivative) of position? velocity

Find the average velocity from t= to t= An object’s position is given by the function s(t) below, where s(t) is measured in meters and t is measured in seconds. Find the instantaneous velocity at t=

What is the slope (derivative) of velocity? acceleration What does a negative and positive velocity mean?

Do you think there is a derivative of acceleration?

Position of a particle is given by the function a) Find the velocity at t=1. Is it traveling to the left or right at this point? b) Find the acceleration at t=2. Is it accelerating to the left or right at this point? c) Find the position at t=3

Position is given by the function d) Find the average velocity from t=0 to t=3 e) Find the point where the particle comes to rest.