SOLUTION: if a body is dropped, the distance (s meters) through which it falls freely in t seconds is approximately 16t^2. a. Show that the distances through which it falls during the first

Question 1089138: if a body is dropped, the distance (s meters) through which it falls freely in t seconds is approximately 16t^2.
a. Show that the distances through which it falls during the first, second, third,..... forms an AP?
b. How far will the body fall in the tenth second?
c. How far will it fall the 20 seconds?
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
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if a body is dropped, the distance (s meters) through which it falls freely in t seconds is approximately 16t^2.
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Before answering your questions, let me make this notice.

    The form of the equation for freely falling body  "distance = 16*t^2" assumes that the distance is in feet, not in meters.

    It is your MISTAKE in the condition to relate the distance to meters.
    It must be in feet.

a.  Show that the distances through which it falls during the first, second, third,..... forms an AP?

    - See the lesson  Free fall and arithmetic progressions  in this site. It is explained there in all details.


b.  How far will the body fall in the tenth second?    Answer. ,  or, which is the same,  ft.

                                                              Please complete these calculations on your own.



c. How far will it fall the 20 seconds?                Answer. In  feet.

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