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Solving word problems using Antiderivatives?
I need to solve this problem using anti derivatives.
A stone was dropped off a cliff and hit the ground with a speed of 120 ft/s what is the height of the cliff?
I found a(t)=-9.8 v(t)=-9.8t and s(t)=-4.9t^2+c but I can't figure out what the c is.
2 Answers
- 1 decade agoFavorite Answer
http://www.bogley.com/forum/showthread.php?37772-G... I did this right but here is a site that seems to explain it well, hope this helps
Source(s): bogley outdoor community - Anonymous4 years ago
g = 9.80 one m/s^2 a) d(t) = 450 - (a million/2)gt^2 b) 0 = 450 - (a million/2)gt^2 c) Take the by-manufactured from d(t) to get v(t) d'(t) = v(t) = - gt d) d(t) = 450 - (a million/2)gt^2 + 5t. Set d(t) = 0 and resolve for t
