l. when is the acceleration, a, equal to zero, a = 0? 2. when is a positive, a >

Question

l.   when is the acceleration, a, equal to zero, a = 0?

2. when is a positive, a >0?

3. When is a negative, a < 0?

4. when is the magnitude of a at its maximum?

5. At t= a, is the particle moving to THe left or right?

6. when is the particle moving to the right with the maximum velocity?

7. When is the particle moving to the left with the maximum velocity?

8. Is the position of the particle at time t=e to the left or right of its position at time t = a?

Consider a particle moving in one dimension along the x-axis. The figure below is a plot of velocity, v, vs time, t, but without the numerical scales along the axes.

Explanation / Answer

Most of this has to do with slope.

Part 1)

When the slope of the line is zero, the accereration is zero. That would be between points a and b and points e and f

Part 2)
Whenever the slope is positive. Between b, c, and d

Part 3)
Whenever the slope is negative. Between d and e

Part 4)

Magnitude means number only (ingore positive or negative)

The greatest slope is between d and e

Part 5)

to the right

Part 6)

The velocity is the highest at point d, right before it goes down

Part 7)

Between e and f. The line dips below the x axis and the max points are between e and f

Part 8)

To the right, it has not made it back to point a yet.

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