Graph shows position versus

Asked by maham237 @ in Mathematics viewed by 336 People

The graph shows position versus time for an object moving with constant acceleration. What is the final velocity of the object at t = 10 s? Assume the initial velocity at the origin is 1 m/s.

Answered by maham237 @


The graph seems to show the position at t=10 s to be x=21 m. Thus, the position has changed at the average rate of

... (21-1) m/(10 s) = 2.0 m/s

The average is half the sum of initial and final velocities, so we have

... 2.0 m/s = (1/2)(1.0 m/s + vf)

... 4.0 m/s - 1.0 m/s = vf = 3.0 m/s

The final velocity is 3.0 m/s.


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