A rocket is fired vertically upward from the ground. The distance in feet that the rocket travels from the ground after t seconds is given by a(t)= -19t² + 563t. (a) Find the velocity of the rocket 7 seconds after being fired. feet/sec (b) Find the acceleration of the rocket 7 seconds after being fired feet/sec²

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.4: Solve Applications Modeled By Quadratic Equations
Problem 159E: A bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial...
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A rocket is fired vertically upward from the ground. The distance in feet that the rocket travels from the ground after t seconds is
given by s(t) = -19t² + 563t.
(a) Find the velocity of the rocket 7 seconds after being fired.
feet/sec
(b) Find the acceleration of the rocket 7 seconds after being fired
feet/sec²
A ball is thrown downward with a speed of 18 ft/s from the top of a 324-foot-tall building. After t seconds, its height above the
ground is given by s(t)--362-18t + 324.
(a) Determine how long it takes for the ball to hit the ground.
sec
(b) Determine the velocity of the ball when it hits the ground.
ft/sec
Transcribed Image Text:A rocket is fired vertically upward from the ground. The distance in feet that the rocket travels from the ground after t seconds is given by s(t) = -19t² + 563t. (a) Find the velocity of the rocket 7 seconds after being fired. feet/sec (b) Find the acceleration of the rocket 7 seconds after being fired feet/sec² A ball is thrown downward with a speed of 18 ft/s from the top of a 324-foot-tall building. After t seconds, its height above the ground is given by s(t)--362-18t + 324. (a) Determine how long it takes for the ball to hit the ground. sec (b) Determine the velocity of the ball when it hits the ground. ft/sec
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