Asking a Word problems

Question

The formula v equals Root 2 gh gives the velocity​ v, in feet per​ second, of an object when it falls h feet accelerated by gravity​ g, in feet per second squared. If g is approximately 32 feet per second​ squared, find how far an object has fallen if its velocity is 176 feet per second.

Answer 1

These steps demonstrate substituting numbers for variables and solving for an unknown variable.

Given:

v = √2gh

g = 32 ft/s²

v = 176 ft/s

Need:

h = ?

First simplify the equation,

v = √(2gh)

v² = 2gh

h = v² / (2g)

^{now substitute the known values to calculate h}

h = (176 ft/s)² / [(2)(32 ft/s²)]

h = 30,976 ft²/s² / 64 ft/s²

h = 484 ft