Kinematics Homework Question- Deriving an expression

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The discussion revolves around a physics homework problem related to kinematics, specifically the equations of motion. The original poster expresses difficulty in starting the problem and seeks guidance on using the five equations of motion. Respondents suggest beginning with the equations for position as a function of acceleration and initial velocity, emphasizing the need to derive a time-independent solution. They recommend using the equation of trajectory for horizontal projectiles and finding an equation for time to substitute into other equations. The focus is on deriving the initial horizontal velocity from the kinematic equations.
mackenziesmith
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Homework Statement
KINEMATICS HOMEWORK HELP
Relevant Equations
5 Equations of Motion Formulas
I have been attempting this physics problem for a while now. I am not sure how to begin to attempt this problem with the equations of motion formulas.
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mackenziesmith said:
Homework Statement: KINEMATICS HOMEWORK HELP
Homework Equations: 5 Equations of Motion Formulas

I have been attempting this physics problem for a while now. I am not sure how to begin to attempt this problem with the equations of motion formulas.
View attachment 249676
Per forum rules, please post some attempt.
 
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haruspex said:
Per forum rules, please post some attempt.
I am not sure how to approach this problem with the given formulas. If anyone is able to help with a starting point, I would really appreciate it! :)
 
mackenziesmith said:
I am not sure how to approach this problem with the given formulas. If anyone is able to help with a starting point, I would really appreciate it! :)
Write equations for the coordinates of the ball as a function of time.
 
mackenziesmith said:
Homework Statement: KINEMATICS HOMEWORK HELP
Homework Equations: 5 Equations of Motion Formulas

I have been attempting this physics problem for a while now. I am not sure how to begin to attempt this problem with the equations of motion formulas.
View attachment 249676
Use equation of trajectory for horizontal projectile
 
Start with kinematic equations for position as a function of acceleration and initial velocity. Since the problem does not specify a time of flight, you must solve these equations to be time-independent. Essentially, just find an equation for ##t## and plug it into the other equation and solve for the initial horizontal velocity.
 
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Δv(x)=Δv(y)=2v(x)
 

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