Calculus

An object has a constant acceleration of 40 ft/sec^2, an initial velocity of −20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object.

  1. 👍
  2. 👎
  3. 👁
  1. d^2s/dt^2 = 40
    ds/dt = 40 t + c
    when t = 0, ds/dt = -20
    so ds/dt = 40 t - 20
    s = 20 t^2 -20 t + d
    when t= 0, s = 10
    so s = 20 t^2 - 20 t + 10

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. college algebra

    The height of a projectile fired upward is given by the formula s = v0t – 16t2, where s is the height, v0 is the initial velocity and t is the time. Find the times at which a projectile with an initial velocity of 128 ft/s will

  2. Math

    Starting from 130 feet away, a person on a bicycle rides towards a checkpoint and then passes it. The rider is traveling as a constant rate of 25 feet per second. The distance between the bicycle and the checkpoint is given by the

  3. physics

    An object is dropped from a bridge.A second object is thrown downwards 2.00s later.They both reach the water 35.0m below at the same instant.What is the initial speed of the second object? I will be very grateful if someone could

  4. physics

    1 a cyclist moving on a circular track of radius 100m completes one revolution in 2 minutes what is his average speed and average velocity in one full revolution. 2 moving with uniform acceleration a body covers150m during 10 sec

  1. algebra. help!

    Start from 110 feet away, a person on a bicycle rides towards a checkpoint and then passes it. The rider is travelling at a constant rate of 30 feet per second. The distance between the bicycle and the checkpoint is given by the

  2. physics

    (1 pt) Which of the following statements is true? (Give all correct answers, i.e., A, C, AE, ABCD . . .) A) An object with a constant speed can not accelerate. B) When the velocity is constant, the average velocity over any time

  3. calculus

    a particle moves along a straight line and has an acceleration given by a(t) = 6t+4 where a is measured in cm/sec^2. Its initial velocity is -6 cm/sec. Initially it sits 9 cm to the right of the origin. Find its displacement

  4. Calculus

    Solve: The posistion of a particle moving along a coordinate line is s=sqrt(5+4t), with s in meters and t in seconds. Find the particle's velocity at t=1 sec. A) 2/3 m/sec B) 4/3 m/sec C) -1/3 m/sec D) 1/6 m/sec Thank you!

  1. physics

    A bomb is dropped from a plane flying at constant horizontal velocity at an altitude of 600m. Where is the bomb after 2 sec? 5 sec? 10 sec? what are the velocities said period?

  2. Physics

    A falling body has an initial velocity of 200 cm/sec. How far will it drop before it's velocity becomes 10,000 cm/sec.

  3. Algebra

    If an object is thrown upward with an initial velocity of 96 feet/sec, it's height after t sec is given by h=96t-16t^2. Find the number of seconds before the object hits the ground.

  4. Calculus

    Suppose you throw an object from a great height, so that it reaches very nearly terminal velocity by time it hits the ground. By measuring the impact, you determine that this terminal velocity is -49 mi sec. A. Write the equation

You can view more similar questions or ask a new question.