How do you find delta X using Voy and Vox?

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To find delta X (Δx) using initial velocities Vox and Voy, the kinematic equation Δx = Vot + 1/2 at^2 is applicable. The problem involves a projectile motion scenario with no air resistance, where Vox and Voy are the horizontal and vertical components of the initial velocity, respectively. The total initial velocity (Vo) and launch angle (∅) have been determined, but the time of flight (t) is needed to calculate Δx. The system is under the influence of gravity, which affects the vertical motion. Understanding the initial conditions is crucial for solving the problem accurately.
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Homework Statement



How do you find delta X with Voy and Vox?

Ex. Problem: Vox = 25.202 Voy = 12.097 Vo = 27.95 ∅ = 25.62° Δx = ?

Homework Equations



I think Kinematic eq. 2 is supposed to be used in this problem, Δx = Vot + 1/2 at^2

The Attempt at a Solution



With Video analysis I was given Vox and Voy. I found Vo and ∅, but I don't know how to find Δx.
 
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Is this a system accelerating under gravity? It's important that you share all the details of the initial conditions of this problem with us.
 
Yes, with no air resistance.
 

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