Question

Hello everyone,

I've encountered a physics exercise that's been quite challenging for me. There's a speed-time graph provided below, and we're tasked with determining the distance traveled by the object represented in the graph. The method involves finding the area under the graph, which corresponds to the distance covered. However, despite my best efforts, I'm unable to arrive at a solution, and I suspect there might be an error in the exercise.

I'm reaching out for assistance because I believe there's more to it than what meets the eye. If anyone could guide me through this exercise or offer some insights, I'd greatly appreciate it. I plan to share this problem with others, so presenting a clear and well-explained solution is essential.

Thank you in advance for your help!​

Answer 1

Step-by-step explanation:

See image below....I had to guess at the 'y' coordinates ( 13 and 9) ....if they are incorrect, you will need to change them in the computations below

You need to find the area of a triangle then a trapezoid , then another trapezoid and finally another triangle

The area represents y axis * x axis = rate * time = distance

from L to R the areas are

1/2 * 10 * .75 + .5 * ( 10+ 13)/2 + .25 * (13+9)/2 + 1/2 (9 * .75) =15 5/8

or 15.625 units (?) <==== I do not know what the units are since the 'y' axis is unlabelled