Worksheet: Graphing Speed

In this worksheet, we will practice interpreting graphs of distance and time and graphs of speed and time that represent the motion of objects.

Q1:

The graph shown displays the changes in the distance moved by an object that travels at a constant speed for a time of 8 seconds. The distance axis of the graph has a resolution of 4 meters. Only the values of distance that are integer multiples of 4 are recorded in the table shown.

Time in Seconds 0 1 2 3 4 5 6 7 8
Distance in Meters 0 20 40

What distance value should be entered in the table for a time value of 2 seconds?

What distance value should be entered in the table for a time value of 3 seconds?

What distance value should be entered in the table for a time value of 6 seconds?

Q2:

The changes in the speeds of three objects during the same time interval are shown in the graph.

Which object has the greatest initial speed?

  • AThey all have the same initial speed.
  • BII
  • CIII
  • DI

Which object has the greatest final speed?

  • AThey all have the same final speed.
  • BI
  • CII
  • DIII

Which object has the greatest average speed?

  • AIII
  • BThey all have the same average speed.
  • CII
  • DI

Which object was not moving?

  • AII
  • BIII
  • CI
  • DAll the objects were moving.

Q3:

The graph shows the changes in the distance walked by a dog in a time interval of 8 seconds.

At what time did the dog change its speed?

Was the dog’s speed higher or lower before the point when its speed changed?

  • AHigher
  • BLower

What is the difference between the speed of the dog before and after it changed speed?

Q4:

The changes in the distance moved by an object during a time interval are shown in the graph. The graph is split into three sections: I, II, and III. In which section of the graph is the speed of the object greatest?

  • AIII
  • BII
  • CI
  • DThe speed is the same in all the sections.

Q5:

The changes in the distance covered by an object during a time interval are shown in the graph. The graph is split into three sections: I, II, and III. In which section of the graph does the object have a speed of zero?

  • AThere are no sections of the graph in which the speed is zero.
  • BII
  • CIII
  • DI

Q6:

The speed-time graph shows the change of speed of a person walking during the time interval from 𝑑=0seconds to 𝑑=6seconds.

What is the person’s speed at 𝑑=0s?

What is the person’s speed at 𝑑=3s?

What distance does the person walk between 𝑑=0s and 𝑑=2s?

What distance does the person walk between 𝑑=2s and 𝑑=4s?

What distance does the person walk between 𝑑=4s and 𝑑=6s?

What distance does the person walk between 𝑑=0s and 𝑑=6s?

Q7:

The distance–time graph shows the change in the distance moved by a person walking in the time interval from 𝑑=0seconds to 𝑑=6seconds.

What speed does the person move at between 𝑑=0s and 𝑑=2s?

What speed does the person move at between 𝑑=2s and 𝑑=4s?

What speed does the person move at between 𝑑=4s and 𝑑=6s?

What average speed does the person move at between 𝑑=0s and 𝑑=6s?

What average speed does the person move at between 𝑑=0s and 𝑑=4s?

What average speed does the person move at between 𝑑=2s and 𝑑=6s?

How far has the person moved at 𝑑=3s?

How far has the person moved at 𝑑=5s?

Q8:

The red and blue lines show the change in distance moved with time for two objects that have the same speed as each other. The distance moved by the object represented by the red line has a value of π‘‘οŠ§, and the distance moved by the object represented by the blue line has a value of π‘‘οŠ¨. The time between the start and end of the motion of the object represented by the red line is Ξ”π‘‘οŠ§, and the time between the start and end of the motion of the object represented by the blue line is Ξ”π‘‘οŠ¨.

Which of the following is the relationship between π‘‘οŠ§ and π‘‘οŠ¨?

  • A𝑑>π‘‘οŠ§οŠ¨
  • B𝑑<π‘‘οŠ§οŠ¨
  • C𝑑=π‘‘οŠ§οŠ¨

Which of the following is the relationship between Ξ”π‘‘οŠ§ and Ξ”π‘‘οŠ¨?

  • AΔ𝑑=Ξ”π‘‘οŠ§οŠ¨
  • BΔ𝑑<Ξ”π‘‘οŠ§οŠ¨
  • CΔ𝑑>Ξ”π‘‘οŠ§οŠ¨

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