Neglecting air resistance, the motion of an object moving vertically near 2 Earth’s surface is determined by the acceleration due to gravity, which is 9.8 ?/? . Suppose a stone is vertically upward at ? = 0 with a velocity of 40 ?/? from the edge of a cliff that is 100m above a river. a) Find the velocity ?(?) of the object, for ? ≥ 0. b) Find the position ?(?) of the object, for ? ≥ 0. c) At what time the stone reaches the maximum height, and what is the maximum height?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Neglecting air resistance, the motion of an object moving vertically near 2

Earth’s surface is determined by the acceleration due to gravity, which is 9.8 ?/? . Suppose a stone is vertically upward at ? = 0 with a velocity of 40 ?/? from the edge of a cliff that is 100m above a river.

a) Find the velocity ?(?) of the object, for ? ≥ 0.

b) Find the position ?(?) of the object, for ? ≥ 0.

c) At what time the stone reaches the maximum height, and what is the maximum height?

d) At what time the stone hits the river, and what is the velocity of the stone when it hits the river?

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