Question

ordering question
click and drag on elements in order
arrange the adjoining velocity versus time plots of four toy cars in order from most distance covered (top) to least distance covered (bottom).
instructions

Explanation:

Step1: Recall distance-velocity-time relation

Distance = Area under velocity-time graph

Step2: Calculate area for Plot A

The graph is a triangle with base $t=2$ s, height $v=6$ m/s.
Area = $\frac{1}{2} \times 2 \times 6 = 6$ meters

Step3: Calculate area for Plot B

The graph is a triangle with base $t=3$ s, height $v=6$ m/s.
Area = $\frac{1}{2} \times 3 \times 6 = 9$ meters

Step4: Calculate area for Plot C

The graph is a rectangle with base $t=4$ s, height $v=6$ m/s.
Area = $4 \times 6 = 24$ meters

Step5: Calculate area for Plot D

The graph is a triangle with base $t=4$ s, height $v=6$ m/s.
Area = $\frac{1}{2} \times 4 \times 6 = 12$ meters

Step6: Order areas from largest to smallest

$24 > 12 > 9 > 6$, so C > D > B > A.

Answer:

1. C
2. D
3. B
4. A