Math Problem Statement
A circus performer stands on a platform and throws an apple from a height of 33.0 m above the ground with an initial velocity v0 as shown in the figure below. A second, blindfolded performer must catch the apple. If v0 = 15.0 m/s, how far from the end of the platform should the second performer stand? (Assume 𝜃 = 30.0°.)
Solution
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Math Problem Analysis
Mathematical Concepts
Projectile Motion
Trigonometry
Quadratic Equations
Kinematics
Formulas
v_{0x} = v_0 \cos \theta
v_{0y} = v_0 \sin \theta
y = v_{0y} t - \frac{1}{2} g t^2
d = v_{0x} \times t
Quadratic equation: ax^2 + bx + c = 0
Theorems
Kinematic Equations of Motion
Quadratic Formula
Suitable Grade Level
Grades 10-12
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