Answer:
[tex]v^2 = v_{ox}^2 + 2a(x - o_x)[/tex]
Explanation:
The options are not well presented; However, the questions can still be solved
Given
[tex]Initial\ Velocity= V_{ox}[/tex]
[tex]Initial\ Displacement = X_{o}[/tex]
[tex]Time = t[/tex]
Required
Determine the final displacement
This question will be answered using the following equation of motion
[tex]v^2 = u^2 + 2as[/tex]
Where s represent the total distance
s is the distance between the initial and final displacements and is calculated as thus;
[tex]s = x - o_x[/tex]
Where x represents the final displacement
Substitute [tex]V_{ox}[/tex] for [tex]u[/tex] ---- The initial velocity
[tex]v^2 = v_{ox}^2 + 2as[/tex]
Substitute [tex]x - o_x[/tex] for s
[tex]v^2 = v_{ox}^2 + 2a(x - o_x)[/tex]
Hence, the above equation can be used to determine the final displacement by solving for x