Answer Projectile Velocity when Hitting Ground: 15.3 m/s

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Homework Help Overview

The discussion revolves around a projectile motion problem involving a cannon that launches a projectile at a specific angle and height. The original poster seeks to determine the magnitude of the velocity vector of the projectile upon impact with the ground, given various parameters including initial velocity components and maximum height achieved.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of projectile motion equations to find the final velocity of the projectile. There is a focus on identifying the appropriate formula to apply, with some participants questioning the correctness of the formula presented.

Discussion Status

The discussion is ongoing, with participants exploring different projectile motion equations. There is an attempt to clarify the formula needed to solve the problem, but no consensus has been reached regarding its correctness.

Contextual Notes

Participants are working with specific values for initial velocity components and gravitational acceleration, while also considering the height from which the projectile is launched. There is a mention of potential confusion regarding the application of the equations involved.

conkle08
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can you answer this??

A projectile of mass 0.695 kg is shot from a cannon, at height 6.5, with an initial velocity having a horizontal component of 5.8 m/s. The projectile rises to a maximum height of delta (y) above the end of the cannon's barrel and strikes the gound a horizontal distance delta (x) past the end of the cannon's barrel. g=9.8. The cannon is angled at 46 degrees. The height from the ground to delta y is 6.5 m. The maximum height delta y the projectile achieves after leaving the end of the cannon's barrel is 1.84m (which i calculated). I also calculated the vertical component of the initial velocity at the end of the cannon's barrel, where the projectile begins its trajectory is 6.01. I need to find the magnitude of the velocity vector when the projectile hits the ground? answer in units of m/s.
 
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this can pretty much be solved in two steps: one involves one of the four basic projectile motion equations. Which one do you think would be most appropriate for this problem?
 
v=vyo -2g(y-y0)
 
conkle08 said:
v=vyo -2g(y-y0)

That's the question I had in mind (using the information you gave) but I'm not sure that formula is correct as written, so i'll just give it here incase there is confusion: v^2 = vo^2 - 2g(y-y0)
 

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