Math Problem Statement
A ball is kicked with a speed of 14m/s at 60 degrees to the horizontal and lands on the roof of a 4m high building. State the final vertical displacement of the ball. Calculate the time of flight. Calculate the horizontal displacement between the start point and the landing point on the roof.
Solution
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Math Problem Analysis
Mathematical Concepts
Projectile Motion
Kinematics
Quadratic Equations
Formulas
y = v_{0y}t - (1/2) g t^2
v_{0y} = v_0 sin(θ)
v_{0x} = v_0 cos(θ)
t = (-b ± √(b^2 - 4ac)) / 2a
x = v_{0x} t
Theorems
Quadratic Formula
Kinematic Equations
Suitable Grade Level
Grades 10-12
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