SOLUTION: A toy rocket is shot vertically upward from the ground. Its distance in feet from the ground in "t" seconds is given by h(t)=-16t^2+137t. At what time or times will the rocket be 1
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-> SOLUTION: A toy rocket is shot vertically upward from the ground. Its distance in feet from the ground in "t" seconds is given by h(t)=-16t^2+137t. At what time or times will the rocket be 1
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Question 203347: A toy rocket is shot vertically upward from the ground. Its distance in feet from the ground in "t" seconds is given by h(t)=-16t^2+137t. At what time or times will the rocket be 119 feet from the ground? Answer by jsmallt9(3758) (Show Source):
You can put this solution on YOUR website! Your problem is to find the value(s) of t that make h(t) = 119:
Subtract 119 from both sides:
Factoring looks difficult at best and it may not factor. So we'll use the quadratic formula: where a, b, and c are taken from the standard form for quadratic equations: ax^2 + bx + c. For your equation a = -16, b = 137 and c = -119:
Splitting this into the two solutions: or
(