Math Problem Statement

If a bullet is fired horizontally at 1000 m/s and a second bullet is dropped at the same time, which will hit the ground first?

Solution

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Math Problem Analysis

Mathematical Concepts

Projectile motion
Free fall
Gravity

Formulas

s = 1/2 * g * t^2 (vertical displacement)
v = u + a * t (kinematics)
s = v * t (horizontal motion)

Theorems

Independence of horizontal and vertical motion
Galileo's principle of free fall

Suitable Grade Level

Grades 9-12