1D Motion Graphs & Vectors

Select the graph that best describes the motion shown in the video

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Answer explanation

If you see the spacing between each dot, they are fixed at the same length. This suggests that the change in position (displacement) was increasing at a constant rate in the same direction over time, and therefore had constant velocity. What you should expect to see is a linear (straight line) increase in position over time, or a flat/unchanging/constant line for velocity over time.

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1D Motion

Select the graph that best describes the motion shown in the video

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Answer explanation

When examining the spacing between each dot, we see that the displacement is increasing at a fixed rate, which means that velocity is constant, but in this case the car is travelling in the opposite direction. Therefore, displacement and velocity are both negative.

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1D Motion

Select the graph that best describes the motion shown in the video

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Answer explanation

Examining the dots, we see that the spacing between each dot increases over time. This suggests that the car is speeding up/accelerating since displacement isn't increasing at a fixed rate. Acceleration on a position versus time graph will be expressed by an exponential function.

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1D Motion

Select the graph that best describes the motion shown in the video

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Answer explanation

This graph shows a car accelerating in the opposite direction. As a result, the change in position will gradually decrease at an exponential rate. Imagining a tangent line at each point on the curve will help with visualizing the car's motion. It can be easy to mistake Graph K as being the choice aligned with this motion, but Graph K plots the motion of an object that is dramatically changing its speed at first, then as the line begins to flatten and converge along the x-axis the car slows down.

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1D Motion

Select the graph that best describes the motion shown in the video

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Answer explanation

Two things can be derived from this video: first, the car is travelling in the opposite direction (left to right), and lastly, the spacing between each dot gradually decreases over time. Therefore, it is slowing down. An important thing to note is that, you will rarely encounter problems where an object is slowing down (decreasing velocity) starting from the origin (x = 0 m). In the event that you do, and it is explicitly stated in the problem, then the curve would be inverted within the same quadrant (forming a hill then plateau)

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1D Motion

Select the graph that best describes the motion shown in the video

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Answer explanation

Note that although the car is slowing down, it is still moving in the positive direction. Therefore we should expect to see a linear decrease in velocity approaching zero.

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1D Motion

Select the graph that best describes the motion shown in the video

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Answer explanation

This motion is showing an initial increase in speed (acceleration from rest) , an abrupt stop then followed by constant velocity all in the opposite direction (negative).

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1D Motion

Select the graph that best describes the motion shown in the video

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Answer explanation

The car is moving with a constant velocity in the positive direction, it stops momentarily and begins to accelerate in the same direction.

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1D Motion

Select the graph that best describes the motion shown in the video

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NGSS.HS-PS2-1

Select the graph that best describes the motion shown in the video

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Answer explanation

Note that in this video, the car is traveling at a constant velocity in the positive direction. It then stops, and reverses it's direction traveling at a constant speed.

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1D Motion