. Instantaneous Speed of a Ball In physics it is shown that the height s of a ball thrown straight up with an initial speed of 96 ft/sec from a rooftop 112 feet high is s = s(t) = - 16r² + 96t + 112 where t is the elapsed time that the ball is in the air. The ball misses the rooftop on its way down and eventually strikes the ground. (a) When does the ball strike the ground? That is, how long is the ball in the air? (b) At what time t will the ball pass the rooftop on its way down? (c) What is the average speed of the ball from t = 0 to t = 2? (d) What is the instantaneous speed of the ball at time t? (e) What is the instantaneous speed of the ball at t = 2? (f) When is the instantaneous speed of the ball equal to zero? (g) What is the instantaneous speed of the ball as it passes the rooftop on the way down? (h) What is the instantaneous speed of the ball when it strikes the ground?
. Instantaneous Speed of a Ball In physics it is shown that the height s of a ball thrown straight up with an initial speed of 96 ft/sec from a rooftop 112 feet high is s = s(t) = - 16r² + 96t + 112 where t is the elapsed time that the ball is in the air. The ball misses the rooftop on its way down and eventually strikes the ground. (a) When does the ball strike the ground? That is, how long is the ball in the air? (b) At what time t will the ball pass the rooftop on its way down? (c) What is the average speed of the ball from t = 0 to t = 2? (d) What is the instantaneous speed of the ball at time t? (e) What is the instantaneous speed of the ball at t = 2? (f) When is the instantaneous speed of the ball equal to zero? (g) What is the instantaneous speed of the ball as it passes the rooftop on the way down? (h) What is the instantaneous speed of the ball when it strikes the ground?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.1: The Circle And The Parabola
Problem 94E
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