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Can the average speed of an object and its instantaneous speed be the same. Expl

ID: 1571380 • Letter: C

Question

Can the average speed of an object and its instantaneous speed be the same. Explain your reasoning and be specific. A simple yes or no answer will not suffice. Justify your answer with an example.

This is my answer thus far, am I on the right track?

No the average speed and instantaneous speed can’t in fact be the same. In looking at the definition of instantaneous speed it is defined as being equal to the average speed over a small time interval. In comparison average speed is defined as the measure of the distance traveled in a give period of time. If you take the following example:

Average speed: t = d/t = 100 miles/50m mph = 2 hours

In looking at the example you traveled 100 miles in 2 hours with your average speed of 50 mph. While you may have covered that area in that time doesn’t mean you weren’t traveling faster in some areas or even stopped all together. In this example a way to see your instantaneous speed would be to look at your speedometer.

Explanation / Answer

Yes, the average speed and instantaneous speed are not the same.

the can be same at a particular instance.

for the above example.

total distance = 100 miles

total time = 2hrs

average speed = 100/2 =50 miles per hour.

so there might be a time car is travelling at speed 50 miles per hour . But this doesnt change the fact that in actual both instantaneous speed and average speed are diffrent.

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