Set 1 Problem number 3


Problem

Problem: Every second, an object moves 8.712 meters. How far will it move in 7.733 seconds?

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Solution

Solution:  8.712 meters in one second would be 8.712( 7.733) meters in 7.733 seconds, or  67.36 meters.

Generalized Solution

Generalized Response: We know that the distance `dist moved in a time interval `dt is equal to the product of the speed v and the time interval. So `dist = v `dt.

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Explanation in terms of Figure(s), Extension

Figure description:

The figure below depicts the fact that if we know vAve and `dt, we can find `ds. The relationship between vAve, `dt and `ds is indicated in red.

In this figure vAve stands for velocity, which is just like speed except that it also has a direction. For example a velocity can be positive or negative. The quantity `ds is called displacement and is just like distance except that it has a direction, just like velocity. For example, displacement can be positive or negative. 

Figure(s)

v_and_dt_give_ds.gif (2020 bytes)