Question

details
no additional details were added for this assignment.
what is the total distance the dune buggy traveled from 0 to 12 seconds?
100 m
540 m
350 m
440 m

Explanation:

Step1: Split graph into segments

Divide the velocity-time graph into 5 distinct intervals: 0-4s, 4-6s, 6-8s, 8-10s, 10-12s.

Step2: Calculate area of 0-4s (trapezoid)

Area = $\frac{1}{2} \times (35 + 15) \times 4 = 100$ m

Step3: Calculate area of 4-6s (rectangle)

Area = $15 \times 2 = 30$ m

Step4: Calculate area of 6-8s (trapezoid)

Area = $\frac{1}{2} \times (15 + 45) \times 2 = 60$ m

Step5: Calculate area of 8-10s (rectangle)

Area = $45 \times 2 = 90$ m

Step6: Calculate area of 10-12s (trapezoid)

Area = $\frac{1}{2} \times (45 + 25) \times 2 = 70$ m

Step7: Sum all segment areas

Total distance = $100 + 30 + 60 + 90 + 70$

Answer:

440 m