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.