Position vs. Time and Velocity vs. Time Graphs (H)

A cart is taken up and down a hallway, and the position of the cart is shown in the graph. What is the average velocity of the cart from 0 s to 10 s?

• 4.0 m/s

• -1.0 m/s

• 1.2 m/s

• 0.40 m/s

Answer explanation

For average velocity, locate the two points.

The displacement is the difference in position (rise).

The time interval is the difference in time (run).

Select the two graphs below which show an object slowing down.

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Answer explanation

For a graph of position vs. time, the velocity shows up as the slope of the graph.

This velocity vs. time graph shows an object...

• moving backward at constant velocity

• moving forward with constant velocity

• moving backward and getting faster

• moving forward and getting slower

• moving backward and getting slower

Here is the description of the motion of a toy car: "The car starts from rest, gradually gets faster for a while as it travels forward, then gradually slows down to a stop as it continues to go forward." Which graph below shows the entire motion described?

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Answer explanation

Position vs. time graphs that have a curve to them show acceleration. Getting steeper means the acceleration is causing the velocity to get larger, getting flatter means the acceleration is causing the velocity to get smaller.

Tags

NGSS.MS-PS3-1

The motion of a toy truck is shown by the graph on the right. How far does the truck go from 0 s to 3 s?

• 4.0 m

• 6.0 m

• 1.3 m/s

• 0 m/s

• 0.75 m/s

Select all the graphs below which show an object getting faster.

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Tags

NGSS.HS-PS2-1

Select the two correct statements that describe the object's motion.

• The object is moving in the positive direction.

• The object is moving in the negative direction.

• The object is moving at a constant speed.

• The object is speeding up.

• The object is slowing down.

Select the two correct statements that describe the object's motion.

• The object is moving in the positive direction.

• The object is moving in the negative direction.

• The object is moving at a constant speed.

• The object is speeding up.

• The object is slowing down.

Which section represents a steady speed?

• A

• B

• C

• D

A cart is taken up and down a hallway, and the position of the cart is shown in the graph. What is the velocity of the cart at 8 s?

• 6.0 m/s

• -1.0 m/s

• 0.75 m/s

• -0.5 m/s

• 1.0 m/s

Answer explanation

On a position-time graph, the velocity at a single instant in time during an interval when the velocity remains constant can be found by the average velocity over that whole interval.