Plot and interpret position-time graphs A position time graph shows an objects change in position over a period of time.

Plot and interpret position-time graphs (cont’d) An object which is moving at a constant velocity would cover equal distances in equal amount of time and it’s graph would appear as an upwardly sloping diagonal line. d t Constant Velocity

Plot and interpret position-time graphs (cont’d) An object which is moving with a constant acceleration will cover larger and larger distances in successive equal time intervals. Its position time graph would appear as a curve. d t Constant Acceleration

Calculate the velocity of an object from a position time graph The slope of the position time graph is the velocity of the object. §Slope is calculated using or

Calculate the velocity of an object from a position time graph

Plot and interpret a velocity-time graph An object which is moving with a constant acceleration will have a velocity time graph that is an upwardly sloping diagonal line. The y- intercept is the initial velocity of the object. v t Constant Positive Acceleration

Calculate the acceleration of an object from a velocity time graph The slope of the velocity time graph is the acceleration of the object. §Slope is calculated using or

Calculate the acceleration of an object from a velocity time graph

Calculate the displacement from a velocity time graph The area between the velocity time graph and the x-axis is the displacement of the object during that time interval.

Sample Problem What is the displacement of the object during the first 5 seconds?

Sample Problem (cont’d) The area that needs to be analyzed is the green triangle. The area of a triangle can be calculated using

Sample Problem (cont’d)

Plot and interpret an acceleration-time graph An object which is moving with constant acceleration would graph as a horizontal line above the x-axis. The y-intercept would be equal to the value of the acceleration. a t Constant Acceleration