Asked by Irina
Wile E. Coyote catapults himself off of a 500 ft. cliff with an initial velocity of 20 ft/sec.
His height t seconds after catapulting is given by the function h(t) = −16t2 + 20t + 500 .
(Note the y-intercept of (0, 500).
a. Find his maximum height (Hint: he reaches maximum height at the top of the parabola.)
b. Find how long it takes for Wile E. to land (unhurt, of course). (Hint: what’s his height
when he lands?)
c. What’s another (more general) name for the point on the graph where Wile E. lands?
His height t seconds after catapulting is given by the function h(t) = −16t2 + 20t + 500 .
(Note the y-intercept of (0, 500).
a. Find his maximum height (Hint: he reaches maximum height at the top of the parabola.)
b. Find how long it takes for Wile E. to land (unhurt, of course). (Hint: what’s his height
when he lands?)
c. What’s another (more general) name for the point on the graph where Wile E. lands?
Answers
Answered by
Steve
(a) recall that the vertex occurs at t = -b/2a = 20/32 = 5/8
So, figure h(5/8)
(b) solve for t when h=0
(c) the point where he lands is a root of the function. h(t) = 0
So, figure h(5/8)
(b) solve for t when h=0
(c) the point where he lands is a root of the function. h(t) = 0
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