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

• physxaffinity
In summary, the conversation discussed a problem involving a plane flying at an altitude of 140m and a parachutist dropping out of the plane and landing 60m away. The solution involved using the Pythagorean theorem to find the parachutist's displacement and then multiplying it by two times the acceleration of gravity to find the velocity squared. It was uncertain if this was the correct velocity, so further calculations were done to determine the time it would take for an object to fall from 140m and hit the ground. This was then used to calculate the velocity of the plane, which was approximately 12m/s.

#### physxaffinity

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.

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?

• physxaffinity
60m/5.35s = ~12m/s

Yay SteamKing! Thanks for your help.