# Derive equation for a freely falling particles velocity

## Homework Statement

Derive an equation that relates the velocity of a freely falling particle to its altitude. Assume that the particle is released from rest at an altitude from the earth's surface.

Express your answer in terms of the variables and , constant gravitational acceleration at sea level , and the radius of the earth .

## Homework Equations

Given Equation :a=-g*[R^2/(R+y)^2]

## The Attempt at a Solution

i tried taking the second derivative and used the chain rule but i got a different answer from what was shown.

Redbelly98
Staff Emeritus
Homework Helper

## Homework Statement

Derive an equation that relates the velocity of a freely falling particle to its altitude. Assume that the particle is released from rest at an altitude from the earth's surface.

Express your answer in terms of the variables and , constant gravitational acceleration at sea level , and the radius of the earth .

## Homework Equations

Given Equation :a=-g*[R^2/(R+y)^2]