One-Dimensional Motion Word Problem

Thread starter bap902
Start date Sep 29, 2008
Tags

Motion One-dimensional motion Word problem

AI Thread Summary

A stone is dropped from a height and falls the last half of its distance in 4 seconds. To find the total time of the fall and the height from which it was dropped, the equation h=1/2(g)(T)² is used. The relationship between total time (T) and the time for the last half of the fall leads to the equation T=√2(T-4). Solving this requires setting up two equations and eliminating one variable. The problem emphasizes the application of kinematic equations in one-dimensional motion.

Sep 29, 2008

bap902

Homework Statement

A stone is dropped from a height (h) and falls the last half of its distance in 4 seconds.
(a) What is the total time of the fall?
(b) From what height was the stone dropped?

Homework Equations

h=1/2(g)(T)²

The Attempt at a Solution

T=√2(T-4)

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Sep 30, 2008

Kurdt

Staff Emeritus

Science Advisor

Gold Member

One will need to set up two equations and most likely divide them to get rid of one of the variables and solve for the other.

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