Aim How do we interpret velocitytime graphs Constant

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Aim: How do we interpret velocity-time graphs?

Aim: How do we interpret velocity-time graphs?

Constant Velocity Vehicle Once again, consider the following vehicle. What will the velocity-time graph

Constant Velocity Vehicle Once again, consider the following vehicle. What will the velocity-time graph look like for this moving vehicle?

Velocity-Time Graph showing constant velocity The velocity is constant. Therefore, it does not change.

Velocity-Time Graph showing constant velocity The velocity is constant. Therefore, it does not change.

Accelerating Vehicle Consider our accelerating vehicle again. What would its velocity-time graph look like?

Accelerating Vehicle Consider our accelerating vehicle again. What would its velocity-time graph look like?

Velocity-Time Graph for Accelerating Vehicle The object is accelerating. The velocity increases at a

Velocity-Time Graph for Accelerating Vehicle The object is accelerating. The velocity increases at a constant rate.

Matching d-t graphs with their corresponding v-t graphs = =

Matching d-t graphs with their corresponding v-t graphs = =

Physical Meaning of Slope for a Velocity-Time Graph We know that slope = rise/run.

Physical Meaning of Slope for a Velocity-Time Graph We know that slope = rise/run. For a v-t graph, this means slope = ∆v/∆t=a. The slope of a velocity-time graph is the acceleration.

Describe the motion depicted in each of the following v-t graphs: A)

Describe the motion depicted in each of the following v-t graphs: A)

Describe the motion depicted in each of the following v-t graphs: B)

Describe the motion depicted in each of the following v-t graphs: B)

Describe the motion depicted in each of the following v-t graphs: C)

Describe the motion depicted in each of the following v-t graphs: C)

Velocity-Time Graphs in Action 1) What is the acceleration of the red car for

Velocity-Time Graphs in Action 1) What is the acceleration of the red car for the first 3 s? 2) Does the red car pass the blue car at three seconds? If not, then when does the red car pass the blue car? 3) When lines on a velocity-time graph intersect, does it mean that the two cars are passing by each other? If not, what does it mean?

Interpreting Velocity-Time Graphs What is the acceleration of the rocket from: a) t= 0

Interpreting Velocity-Time Graphs What is the acceleration of the rocket from: a) t= 0 s to t= 1 s b) t=1 s to t=4 s c) t=4 s to t= 12 s

The meaning of the area under a curve in a velocity-time graph Ideas?

The meaning of the area under a curve in a velocity-time graph Ideas?

Meaning of the Area under a curve The area under a curve of a

Meaning of the Area under a curve The area under a curve of a velocity-time graph is the displacement. When the area is negative, the displacement is negative. When the area is positive, the displacement is positive. The distance will always be positive.

Calculate the distance traveled in each of the examples given

Calculate the distance traveled in each of the examples given

Areas

Areas

Calculate the displacement of the following v-t graphs: Problem A. What is the displacement

Calculate the displacement of the following v-t graphs: Problem A. What is the displacement of the object from t =2 s to t =3 s? Problem B. What is the displacement of the object from t = 0 s to t = 2 s?

Velocity-Time Graph During what times will the displacement be negative? During what time interval

Velocity-Time Graph During what times will the displacement be negative? During what time interval will the displacement be positive?

V-t Graph and Superman The velocity-time graph below pertains to the motion of Superman.

V-t Graph and Superman The velocity-time graph below pertains to the motion of Superman. 1. Calculate the acceleration at the following times: t=010 s, t= 10 s – 15 s, , t=15 s -40 s, t= 40 s – 55 s 2. Calculate the distance travelled from t = 0 s to t =15 s. 3. Calculate the displacement of Superman at t =55 s

Motorist A motorcycle moves according to the velocity-versus-time graph shown in the figure. Find

Motorist A motorcycle moves according to the velocity-versus-time graph shown in the figure. Find the average acceleration and distance travelled during each of the time segments A, B, and C.

Finding the average velocity a) How do we find the average velocity of the

Finding the average velocity a) How do we find the average velocity of the object in the graph from t= 0 s to t = 8 s? b) What is the average velocity of the object from t= 8 s to t= 16 s?