Math Problem Statement
A stone is thrown horizontally at a speed of 5.0 m/s from the top of a cliff 78.4 m high.
a)How long does it take the stone to reach the bottom of the cliff?
b) How far from the base of the cliff does the stone strike the ground?
c) What is the final speed of the stone as it hits the ground?
Solution
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Math Problem Analysis
Mathematical Concepts
Projectile Motion
Kinematics
Gravity
Formulas
Vertical displacement formula: h = (1/2) * g * t^2
Horizontal distance formula: d_x = v_x * t
Final speed formula: v_f = sqrt(v_x^2 + v_y^2)
Theorems
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Suitable Grade Level
Grades 10-12
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