Finding distance covered after acceleration

I am confused about how to calculate how much distance a car has traveled after x amount of time, accelerating at a constant rate.
Here is the question:
A car traveling with an initial velocity of 20 m/s accelerates at a constant rate of 3 m/s2 for a time of 4 seconds.
What distance does the car travel during this process?
I found the velocities after each second and added them together, but webassign said it was wrong. Please help. thanks

* also, does anyone know how to do #13 on the webassign review?

2 comments:

Unknown said...

This quesiton is best answered with a velocity vs time graph. try to sketch the graph, you know that the velocity is changing by 3m/s every second, so you'll end up with a graph that looks like a box and a triangle. You can find the area of these two shapes, and that should represent.....

Unknown said...

It's likely that WA isn't grading this correctly. but the key point is that your velocity graph should start anywhere, and the slope values should match the values in the acceleration graph. So you should have a negative slope from 0-2s, a positive slope from 2-4 s, and a negative slope from 4-6s

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