You have to break up the graph into 3 parts according to the ticks on the axes. So the first flat line is 0-6, the large middle section is 6-30s, and the right flat line is 6s.
Also know what the values on the y axis are for each time duration. Use the axis ticks to help you.
1) Find the acceleration for the first 6 seconds by using F=ma, with F being the y-axis value for the middle line minus the y-axis value for the first horizontal line. Basically it's actual weight minus apparent weight. Mass is the mass of the guy
Use d = vt+(1/2)at^2 to find the distance travelled.
Find the final speed at the end of this 6 second duration by using vf^2 = vi^2 + 2ad.
Note that v1 is 0m/s .
2) For the time duration from 6-30s, acceleration is constant bc the guy is moving at a constant velocity. Use d = vt+(1/2)at^2 again to find the distance travelled. Note that the initial speed you use in the equation here is the final speed of the first time duration.
3) Use d = vt+(1/2)at^2 again for the time duration from 30-36s. The speed is the same as the one you used for the middle horizontal line, because the speed didn't change. Acceleration is the negative value of the acceleration you found for the time duration from 0-6s.
Add up all 3 distances. That's the answer.
Last edited by 5.98e24 : 10-02-2011 at 07:10 PM.
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