A model rocket is launched with an initial upward velocity of 215/fts. The rocket's height h (in feet) after t seconds is given by the following. = h-215t16t2 Find all values of t for which the rocket's height is 97 feet

Question

Mathematics

Petersen

7 April, 20:14

A model rocket is launched with an initial upward velocity of 215/fts. The rocket's height h (in feet) after t seconds is given by the following. = h-215t16t2 Find all values of t for which the rocket's height is 97 feet

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Tapia · Answer 1

97 = 215t - 16t^2

16t^2 - 215t + 97 = 0

Using Quadratic formula:

t = [ - (-215) + - Sqrt ((-215) ^2-4X (16) X97) ]/2X16

Solve for t:

t1 = (215+200) / 32 = 12.97 seconds

t2 = (215-200) / 32 = 0.46875 seconds