Math Problem Statement

A projectile is lannched with an initial speed of 200 m/s at an angle of 60 with respect to the horizontal. Compute the range R as measured up the ineline

Solution

To compute the range RR of a projectile launched at an angle of 60∘60^\circ with respect to the horizontal, as measured up an incline, we can follow these steps:

Assumptions:

  1. Initial velocity v0=200 m/sv_0 = 200 \, \text{m/s}
  2. Angle of launch ( \theta =

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Math Problem Analysis

Mathematical Concepts

Projectile Motion
Trigonometry
Kinematics

Formulas

Range formula on an incline: R = (v_0^2 * sin(2 * theta)) / g
Initial velocity components: v_x = v_0 * cos(theta), v_y = v_0 * sin(theta)
Gravitational constant: g = 9.8 m/s^2

Theorems

Projectile Motion Theorem
Kinematic Equations

Suitable Grade Level

Grades 11-12

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