posted by .

I have an acceleration function and a velocity function that I know the equations for. How would I use those to find the equation for a position function x(t) if x(0) = 0? I'm just looking for a general method, but I can give the equations if needed.

  • Calc -

    v(t) = integral of acceleration, a(t)
    x(t) = integral of v(t)
    in the special case where a is constant this would come out:

    v = Vi + a t
    (Vi is v when t = 0)

    x = Xi + Vi t + (1/2) a t^2
    (Xi is x at t = 0)

  • Calc -


Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. More Calc

    There is a ditch that is 18 feet deep at its deepest point. A rock is dropped from the rim above the deepest point. a. Write the height of the rock as a function of t in seconds. b. How long will it take for the rock to hit the ditch …
  2. math

    Derivatives are usually not taught in 5th grade. That is what your question is about: Rates of change. Complete the following statements with the correct words Note: Correct spelling is important. If s(t) is a distance (or height or …
  3. pre calc

    The Identity Function The Squaring Function The Cubing Function The Reciprocal Function The Square Root Function The Exponential Functional Lo The Natural Logarithum Function The Sine Function The Cosine Function The Absolute Value …
  4. college math 116

    Functions are a lot like equations. In a function we look at the relationship of the variables. Does one variable depend on the other. In a function when you see f(x) it just means "y." So we have an equation y = 2x + 3 and a function …
  5. Math: Calculus

    The velocity function is v(t)= t^2-5t+ 4 for a particle moving along a line. The position function s(t) is an antiderivative of the velocity function. Find the displacement, s(6) - s(-3), by the particle during the time interval [-3,6].
  6. Calc

    So I have a particle that is moving along the x-axis. I have the acceleration equation, the velocity equation, and the position equation. I need to know what is the first time when t>0 that the particle returns to the origin?
  7. physics

    The acceleration of a certain particle is a function of time: a(t) = pt^2-qt^3, where p and q are constants. Initially, the velocity and position of the particle are zero. (a) What is the velocity as a function of time?
  8. Calc

    if the velocity can be expressed as v(t)=1-∛t what is the acceleration function. so i started by bringing in acceleration formula a=v1-vo/t1-to took my velocity function and found the derivative. v=-1/3t^2/3 have i started it …
  9. Math

    Using the distance function s(t) = t2 + 4t + 30, "s" is in feet and "t" is in seconds, find the velocity function, v(t), and acceleration function, a(t).
  10. Calc

    If a car is driving in a straight line with constant acceleration a, initial velocity v0, and initial position s0, find a formula for the position function of the car. How would I solve this equation?

More Similar Questions