Consider an object that has uniform acceleration during a certain time interval.

Question

Consider an object that has uniform acceleration during a certain time interval. The position vs. time graph below shows the motion for an object with uniform acceleration. 4. Position vs. Time for a Uniformly Accelerated Object 250 200 E150 100 50 0 4 Time (s) 2 8 10 Determine the average velocity of the object for the entire time interval shown. Show all your work. a. hich instant in time is the instantaneous velocity of the object equal to the average velocity over the entire time interval? Explain your logic.

Explanation / Answer

Answer:

Let us go to the basics first.

(a)Average velocity = Displacement / Time interval

=>Average velocity = (250 - 0) m / (10 - 0)s = 25 m/s (Answer a)

(b)As evident from the given graph, the plot of graph is linear between 8second and 10second.

So, slope of the graph i.e., instantaneous velocity is well defined for this time interval.

So, we can say that between this interval (8second and 10second) the instantaneous velocity is equal to average velocity. (Answer b)

Thanks!!!

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