Algebra
posted by Jamal Dwight
How does gravity relate to functions, specifically to s(t)= 1/2 gt^2 + vt + h.
Provide a brief history of the projectile and its use in functions.

Damon
projectile with no air friction and constant acceleration down of g
Vertical problem:
initial height = Hi
initial velocity component UPWARD = Vi
velocity upward = v
height = y
then
acceleration =g which is about 9.81 m/s^2 on earth
v = Vi  g t
y = Hi + Vi t (1/2)g t^2
That is all about up and down
There are no forces horizontal so the initial horizontal speed is forever until the crash.
call that speed u
then horizontal distance x = u t
===================
IF
you fire missile with speed S and angle up A
Then
Vi = S sin A
and
u = S cos A
the end :) 
Scott
gravity provides a force of attraction between masses
a force acting on a mass causes it to accelerate
the function [s(t)= 1/2 gt^2 + vt + h] describes the height (s) relative to time (t) of a mass (object) in freefall
... g is the gravitational acceleration
... v is the initial vertical velocity
... h is the initial height
due to gravity, projectiles follow a parabolic
trajectory
... the horizontal velocity is constant
... while the vertical velocity changes due to gravity
Respond to this Question
Similar Questions

Calculus
We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic … 
Algebra
What similarities and differences do you see between functions and linear equations studied in Ch. 3? 
Algebra
What similarities and differences do you see between functions and linear equations? 
Physics (please help!!)
Analyze the flight of a projectile moving under the influence of gravity (mg) and linear, i.e., laminarflow drag (fD = bv), with b constant). Neglect (phase I); assume the projectile is launched from mthe origin at speed v1 and angle … 
Physics (please help!!)
Analyze the flight of a projectile moving under the influence of gravity (mg) and linear, i.e., laminarflow drag (fD = bv), with b constant). Neglect (phase I); assume the projectile is launched from mthe origin at speed v1 and angle … 
Algebra
Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(x^2+3x+9)/(x1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these functions, … 
Math
Analyzing Quadratic Functions describe how the graphs of the following functions relate to the graph of y=x^2. Could someone please tell me what that means? 
advanced functions/precalculus
1. The function f(x) = (2x + 3)^7 is the composition of two functions, g(x) and h(x). Find at least two different pairs of functions g(x) and h(x) such that f(x) = g(h(x)). 2. Give an example of two functions that satisfy the following … 
Physics
Analyze the flight of a projectile moving under the influence of gravity (mg) and linear, i.e., laminar flow drag (fD = bv, with b > 0 constant). Neglect \Phase I"; assume the projectile is launched from the origin at speed v1 … 
Math
There are 4 odd functions and 3 even functions in the gallery of the 12 basic functions. After multiplying these functions together pairwise in different combinations and exploring their graphs, make a conjecture about the summetry …