course Phy 231
6/14 12:45
If an object increases velocity at a uniform rate from 6 m/s to 26 m/s in 10 seconds, what is its acceleration and how far does it travel?
Sketch a velocity vs. clock time graph for an object whose initial velocity is 6 m/s and whose velocity 10 seconds later is 26 m/s.
Explain what the slope of the graph means and why, and also what the area means and why.
(26m/s – 6m/s)/10s=2m/s^2 is the acceleration
It travels 160m in 10seconds. ‘ds=vAve*’dt the average was found by adding both velocities and dividing them by 2.
The slope of the graph is a representation of the acceleration. The area under the curve is a representation of distance traveled found by integration of the line y=2x+6.
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