Suppose That the Height of a Projectile Red Vertically Upward

question 97

Essay

Suppose that the height of a projectile red vertically upward from a height of 80 feet with an initial velocity of 64 feet per second is given by h (t) = -16t² + 64t + 80.(a) Compute the height of the object for t = 0, 1, 2, 3, 4, 5, and 6 seconds.(b) What is the physical significance of h (6)? What does that suggest about the domain of h?
(c) What is the average velocity of the projectile for each of the following time intervals?
(i) [1; 3]
(ii) [0; 2]
(iii) [0; 4]
(d) What is the physical significance of an average velocity of 0?
(e) When does the projectile reach its maximum height?
(f) For what value(s) of t is h (t) = 0? Are all solutions to the equation valid? Explain.

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