Suppose a stone is thrown vertically upward from the edge of acliff on Earth with an initial velocity of 64 ft/s from a height of32 ft above the ground. The height (in feet) of the stone above theground t seconds after it is thrown is s(t) = -16t2 + 64t + 32.a. Determine the velocity v of the stone after t seconds.b. When does the stone reach its highest point?c. What is the height of the stone at the highest point?d. When does the stone strike the ground?e. With what velocity does the stone strike the ground?f. On what intervals is the speed increasing?
Suppose a stone is thrown vertically upward from the edge of acliff on Earth with an initial velocity of 64 ft/s from a height of32 ft above the ground. The height (in feet) of the stone above theground t seconds after it is thrown is s(t) = -16t2 + 64t + 32.a. Determine the velocity v of the stone after t seconds.b. When does the stone reach its highest point?c. What is the height of the stone at the highest point?d. When does the stone strike the ground?e. With what velocity does the stone strike the ground?f. On what intervals is the speed increasing?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Suppose a stone is thrown vertically upward from the edge of a
cliff on Earth with an initial velocity of 64 ft/s from a height of
32 ft above the ground. The height (in feet) of the stone above the
ground t seconds after it is thrown is s(t) = -16t2 + 64t + 32.
a. Determine the velocity v of the stone after t seconds.
b. When does the stone reach its highest point?
c. What is the height of the stone at the highest point?
d. When does the stone strike the ground?
e. With what velocity does the stone strike the ground?
f. On what intervals is the speed increasing?
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