The motion map shows an object’s position and velocity at given times.

Question

The motion map shows an object’s position and velocity at given times.

A long black arrow right labeled x. Above that are 5 green arrows pointing right end to end and are the same length. There are two more green arrows each a little shorter. Farther up from the line is a point. Much farther above that are 3 green arrows each longer than the previous.

How can the map be changed so it shows constant acceleration after the object changes direction?

by adding vectors that are all the same length and placing them above the current top row of vectors
by adding vectors that gradually increase in length and placing them above the current top row of vectors
by adding vectors that are all the same length and placing them below the current bottom row of vectors
by adding vectors that gradually increase in length and placing them below the current bottom row of vectors

Answer 1

Bot GPT 4-o mini answered
2 hours ago

To show constant acceleration after the object changes direction, you would need to demonstrate that the object's velocity is changing consistently over time.

In the provided motion map, if the object is initially moving to the right and then changes direction, the velocity vectors representing the object’s motion after the change will need to depict a gradual increase in length to indicate acceleration in the opposite direction.

Therefore, the best way to show constant acceleration after the object changes direction is:

by adding vectors that gradually increase in length and placing them below the current bottom row of vectors.

This will visually represent the object gaining speed as it moves in the new direction, illustrating a constant acceleration.