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

by adding vectors that gradually increase in length and placing them above the current top row of vectors

Reason: constant acceleration means the speed changes by the same amount each time interval, so the velocity arrows after the turnaround should get progressively longer by equal increments (and appear after the top/turnaround point).