Algebra

posted by .

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.

  • Algebra -

    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 :)

  • Algebra -

    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

First Name
School Subject
Your Answer

Similar Questions

  1. 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 …
  2. Algebra 2 Functions

    Use these functions: f(x)=3x-2 g(x)=2 h(x)=4x 1. What is f(g(x))?
  3. Algebra

    What similarities and differences do you see between functions and linear equations studied in Ch. 3?
  4. Algebra

    What similarities and differences do you see between functions and linear equations?
  5. Algebra

    Use composition of functions to show that the functions f(x) = 5x + 7 and g(x)= 1/5x-7/5 are inverse functions. That is, carefully show that (fog)(x)= x and (gof)(x)= x.
  6. Math

    What are the similarities and differences between functions and linear equations?
  7. Physics (please help!!)

    Analyze the flight of a projectile moving under the influence of gravity (mg) and linear, i.e., laminar-flow drag (fD = -bv), with b constant). Neglect (phase I); assume the projectile is launched from mthe origin at speed v1 and angle …
  8. Physics (please help!!)

    Analyze the flight of a projectile moving under the influence of gravity (mg) and linear, i.e., laminar-flow drag (fD = -bv), with b constant). Neglect (phase I); assume the projectile is launched from mthe origin at speed v1 and angle …
  9. 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 …
  10. 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 …

More Similar Questions