# 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?

##### 1 Answer

163.345

#### Explanation:

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:

Putting

Upon integrating (which I leave up to you),

We know that average speed = total distance / total time.

So Avg. Speed

Avg. Speed