Projectile motion of half a parabola

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SUMMARY

The discussion focuses on solving a projectile motion problem involving a ball thrown horizontally from a height of 3 meters at a velocity of 20 m/s. Participants clarify that the time in the air can be calculated using the vertical motion equations, specifically identifying that the initial vertical velocity (Vi) is 0 m/s. The time of flight (t) is determined to be 0.77 seconds, which is essential for calculating the horizontal displacement (Dx) using the appropriate kinematic equations for both the x and y components of motion.

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  • Knowledge of horizontal and vertical motion components
  • Basic algebra for solving equations
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weesieman
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1. I have a ball that is thrown off a 3m high cliff at 20 m/s horizontally, what is the displacement on the X axis, Vf, and tair? (assuming no air resistance)



Homework Equations


d=Vi*t+(1/2a*t2


The Attempt at a Solution


When I tried to solve this problem I couldn't really find an equation that worked. I'm confused about how to find the time in the air with the given information, do you guys know any other formulas that would be helpful for this problem?
 
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The formula you wrote would work. Do you know what are the parameters in it?
 
You need to think in terms of separate x and y components. The equation you've stated is for the y-component. What is Vi (y direction) in this case? The problem statement tells you. From this you can find t.

Next, you need a kinematic equation for the x direction. It's pretty simple. Think of the forces acting in the x direction. Any guess?
 
mishek said:
The formula you wrote would work. Do you know what are the parameters in it?

I don't think I can use it because all I really know in that formula is Vi and Acceleration
 
hotvette said:
You need to think in terms of separate x and y components. The equation you've stated is for the y-component. What is Vi (y direction) in this case? The problem statement tells you. From this you can find t.

Next, you need a kinematic equation for the x direction. It's pretty simple. Think of the forces acting in the x direction. Any guess?

Vi for Y is 0, so I would need to use the formula to find the time, which is .77 seconds, so with this I can find Dx right?
 
weesieman said:
Vi for Y is 0, so I would need to use the formula to find the time, which is .77 seconds, so with this I can find Dx right?

Yes, but what's the distance equation in the x-direction. Like I said, pretty simple.
 
weesieman said:
I don't think I can use it because all I really know in that formula is Vi and Acceleration

I think you know one more thing. Check the known data once more.
 

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