(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

1: An immobile person sees a package falling to the ground. It appears to be falling (a) at an angle, and (b) at speed V1.

2: A pilot flying horizontally at constant speed sees the same package. It appears to be (a) falling vertically, and (b) at speed V2.

The question is: What's the speed of the pilot relative to the ground?

2. Relevant equations

--

3. The attempt at a solution

If the pilot is flying horizontally and sees the package falling straight down, it would suggest to me that his own horizontal velocity matches that of the package. I attempted to sketch this out, and it strongly resembles a vector addition problem where the magnitude would be equal to sqrt(x^2 + y^2), which leads me to believe that the correct answer would be sqrt(v1^2 + v2^2) (C, below).

I'm not 100% on this, though, since I seem to be having a hard time visualizing this beyond that.

This is a multiple-choice question:

A. v1 + v2

B. sqrt(v1^2 - v2^2)

C. sqrt(v1^2 + v2^2)

D. v2 - v1

E. v1 - v2

Am I going about this the proper way / am I right on this one, or am I a bit... off?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Conceptual question on velocity (double-checking my own work)

**Physics Forums | Science Articles, Homework Help, Discussion**