An object has a mass of #4 kg#. The object's kinetic energy uniformly changes from #16 KJ# to # 96KJ# over #t in [0, 6 s]#. What is the average speed of the object?
Here, let's assume that uniform change means that the graph of Kinetic energy vs. time is a straight line.
Let y coordinate be kinetic energy, and x coordinate be time. As at x=0, y=16000, so y-intercept of line is 16000.
Slope of the line is
Equation of line is
Putting value of m as 4 and simplifying:
Upon integrating (which I leave up to you),
We know that average speed = total distance / total time.
So Avg. Speed