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Velocity-Time Graphs Worksheet

Explore and analyze velocity-time graphs, calculating displacement, acceleration, and interpreting motion for Grade 12 mathematics.

Grade 12 Math Data and GraphingVelocity-time Graphs
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSF.IF.B.4CCSS.MATH.CONTENT.HSF.IF.B.6

Topics

velocitytimegraphskinematicsphysicsgrade 12
7 sections · Free to use · Printable
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Velocity-Time Graphs

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Date:

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Read each question carefully and answer to the best of your ability. Show all your work for calculations.

1. Consider the velocity-time graph below. Describe the motion of the object during each segment (A, B, C).

0Time (s)Velocity (m/s)ABC5152010

Segment A:  

Segment B:  

Segment C:  

2. Using the graph from Question 1:

a) The acceleration during segment A is   m/s².

b) The displacement during segment B is   m.

c) The total displacement from t=0s to t=20s is   m.

3. What does the area under a velocity-time graph represent?

a

Acceleration

b

Displacement

c

Speed

d

Time

4. A horizontal line on a velocity-time graph indicates that the object is at rest.

T

True

F

False

5. An object starts from rest and accelerates uniformly to 20 m/s in 4 seconds. It then maintains this velocity for 6 seconds, and finally decelerates uniformly to rest in 2 seconds. Sketch the velocity-time graph for this motion.

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