**Velocity Time Graph Worksheet Answer Key** – 1 Physics Name Order Pd Date Unit 2 Kinematics Worksheet 1. Outline of Position vs. Time and Velocity vs. Time Graph The graph of velocity vs. time graph looks at the following descriptions of the movement of an object: 1. The object moves to a starting point. Fast for 10s, hold for 10s. There are two possibilities: a) (red) the object moves towards the origin in the positive direction, so it starts on the negative side of the origin b) (blue) the object moves towards the origin in the wrong direction, so start; on the positive side of the origin 10s 2 Starting from the side. The object moves away from the starting point at a constant speed for 10 seconds, reverses direction, and returns to the starting point at the same speed. 2 things are possible: a) (in red) the object moves from the beginning in the positive direction and back in the negative direction, b) (in blue) the object moves from the beginning in the negative direction for 10s 3.a) Velocity vs Time The lower left side shows the graph of the object, the graph of the velocity and the graph of time (b) Find the average velocity and average speed for the entire trip. x x x0 4 v av 0.8m t 5 5 d 4 s av 0.8m t 5

2 4. (a) Draw a velocity versus time graph for an object whose velocity is shown on the lower left of the position versus time graph. (b) Find the average speed and the average speed for the entire path x x x0 2 v av 0.5 m t For many graphs, the edge of the graph and the area between the graph and the axis are a method of overlaying. a What does the sign of the position-time graph tell you about the speed of the object? The time-averaged rate of increase is B. Based on the rate-time graph (questions 4 and 5), determine the units of the squared area of the graph. The units of area under the v-t curve are (m/s) x (s) = m c. What does the area at the bottom of the velocity-time graph tell you about the speed of the object? Motion 6. Describe the motion relative to the following position on the time graph. s d 6 1.5m s av t 4 / Verbal description – Starting from the origin, the object moves in the positive direction with a speed of 2 m/s for 2 seconds. . At the end of 2s, the object is 4 m. – Remains stationary at 4m for 1 second. It then moves back to the origin in the negative direction at 1 m/s for 4 seconds.

## Velocity Time Graph Worksheet Answer Key

3 7. Draw a position-time graph according to the following information. 5m An object starts at 5m and moves to the left at constant speed for 3 seconds. The object stops for 2 seconds and continues in the same direction and speed for another 2 seconds. An object stops for 2 seconds and moves to the right with a faster speed for 2 seconds. a Draw a graph of position versus time. B. Draw a graph of velocity versus time. t(s) x (m) c. Determine the displacement from t = 3.0 to 5.0s. Check this using Graph A using Graph B. Graph B: v-t = x = (3m/s)(2s) = 6m Area under graph A: x = x 5s x 3s = 10-4 = 6m d. Determine the displacement from t = 7.0 s to 9.0 s using graph B. Check this using Graph A. v-t = x = (-5m/s)(2s) = -10m Area below the graph: x = x 9s x 7s = 0 -10 = -10 m

#### Formative Assessment Lessons

4 m.s Determine the average speed from t = 0 s to 9.0 s. v x t 0 f. Find the average speed from t = 0 s to 9.0 s. 20 s 2.2m 9 9. Consider the time-space graph of cyclists A and B. and is on the left. Do the riders start from the same place? How do you know? If not, who is behind? No, the y-axis intercept is not the same. B starts before A. b. At t = 7 s, which rider is ahead? How do you know? At 7 s, A is ahead because A’s position is far from the origin or origin. c. Which cyclist is faster by 3 seconds. How do you know? At 3 seconds, A is speeding up because line A has a greater slope than d. Are they always the same speed? How do you know? Their speeds are not equal, the speed indicated by the slope of the x-t curve, . Since the 2 planes are very different and have the same slopes, they have different velocities e. What does the intersection of lines A and B do? Riders A and B are at the same place at the same time 10. Consider the position versus time graph below for riders A and B. a. How does the speed of cyclist A in this graph compare to the speed of A in the previous graph? A moves like the previous graph b. How does the speed of cyclist B in this graph compare to the speed of B in the previous graph on page 1? B’s movement is in the opposite direction

5 g. Which rider is the fastest? How do you know? A has a greater speed because the slope d is steeper. Describe what happens at the intersection of lines A and B. Fans A and B are in the same place at the same time e. Which rider went up in the first 5 seconds? How do you know? Player A has increased because the difference between A’s final positions and initial positions (movement) is greater than B’s.

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### Velocity Time Graph Formula

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## Velocity Time Graph Worksheet

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## Physics Motion Graphs

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