[Basic Velocity] Finding velocity with x and y distances?

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Homework Help Overview

The problem involves a parachutist dropping from a plane and landing a certain distance away from the drop point. The context is related to basic physics concepts of velocity, displacement, and gravitational acceleration.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss using the Pythagorean theorem to determine displacement and explore the relationship between distance fallen and time taken to calculate velocity. Questions arise regarding the correctness of the initial calculations and assumptions about the motion involved.

Discussion Status

The discussion has progressed with some participants providing calculations for time taken to fall and suggesting how to derive the plane's velocity from the known distances and time. There is an acknowledgment of different interpretations and approaches being explored.

Contextual Notes

Participants are working within the constraints of the problem as posed, including the height of the plane and the distance the parachutist lands from the drop point. There is a focus on the assumptions related to free fall and horizontal motion.

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Ex. problem. A plane is flying 140m above the surface. A parachutist drops out of the plane and lands 60m from where he jumped out. What is the plane's velocity?

I used the Pythagorean theorem to find the displacement of the parachutist, i.e. the hypotenuse. I then multiplied the parachutist's displacement by two times the acceleration of gravity. The product would be some velocity squared. I don't know if this is the correct velocity, so I'm wondering how to find that.
 
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physxaffinity said:
Ex. problem. A plane is flying 140m above the surface. A parachutist drops out of the plane and lands 60m from where he jumped out. What is the plane's velocity?

I used the Pythagorean theorem to find the displacement of the parachutist, i.e. the hypotenuse. I then multiplied the parachutist's displacement by two times the acceleration of gravity. The product would be some velocity squared. I don't know if this is the correct velocity, so I'm wondering how to find that.

So, you're just guessing what the correct answer is.

The plane is flying at an altitude of 140 m. How long does it take for something to fall from that height and hit the ground?
 
Edit: It would take 5.35 seconds.
 
You've got a distance and a time now. What's the velocity of the plane?
 
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60m/5.35s = ~12m/s

Yay SteamKing! Thanks for your help.
 

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