Math Problem Statement

Solve for the intital velocoty

Solve for the initial velocity

Solution

To solve for the initial velocity v0v_0 in the given equation:

1.39=2v0sinθ9.81.39 = \frac{2 v_0 \sin \theta}{9.8}

we can rearrange the equation to isolate v0v_0.

Step 1: Multiply both sides by 9.89.8

1.39×9.8=2v0sinθ1.39 \times 9.8 = 2 v_0 \sin \theta 13.622=2v0sinθ13.622 = 2 v_0 \sin \theta

Step 2: Divide both sides by 2sinθ2 \sin \theta

v0=13.6222sinθv_0 = \frac{13.622}{2 \sin \theta} v0=13.6222sinθv_0 = \frac{13.622}{2 \sin \theta} [ v_

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Kinematics
Projectile Motion

Formulas

Vertical motion equation: t = (2 * v_0 * sin(θ)) / g
Rearranging to solve for v_0: v_0 = (t * g) / (2 * sin(θ))

Theorems

Kinematic equations for projectile motion

Suitable Grade Level

Grades 10-12