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21 Jan 2022
Given information
Given a projectile is fired with an initial speed of at an angle of above the horizontal on a long flat firing range.
To determine the total horizontal distance covered (that is, the range).
Step-by-step explanation
Step 1.
After the object is released, it follows a parabolic path and undergoes projectile motion. Assuming that air resistance is negligible, kinematic equations for two dimensions can be used to calculate the range.
Recall that in this case of projectile motion, the initial velocity can be resolved into its and components using the equations below.
where is the angle the velocity vector makes with the horizontal.
Furthermore, the horizontal velocity remains constant all throughout the object's motion while the vertical velocity changes because of the downward acceleration with a magnitude of .
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