math

posted by Marissa

The position of a bucket falling down a well can be represented by the function h(t)=-16t^{2} where t is time in seconds and h(t) is measured in feet. Based on this function, what is the velocity of the bucket after it has fallen for 4 seconds?

  1. Scott

    dh/dt is the velocity (1st derivative)

    v(t) = -32t

  2. Marissa

    So divide both sides by t and end up with v=-32? That doesn't seem right.

  3. Marissa

    Never mind. I forgot about multiplying it by 4 because it's supposed to be the velocity for 4 seconds.

  4. Steve

    I am shocked to see your first try.

    v(t) is a function.
    it is v of t, not v times t!

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Calculus

    1. The problem statement, all variables and given/known data a ball is thrown straight down from the top of a 220 feet building with an initital velocity of -22ft/s. What is the velocity of the ball after 3 seconds?
  2. Math, Please Help!!!

    1. The problem statement, all variables and given/known data a ball is thrown straight down from the top of a 220 feet building with an initital velocity of -22ft/s. What is the velocity of the ball after 3 seconds?
  3. physics

    A cylindrical 7.25 kg pulley with a radius of 0.864 m is used to lower a 7.13 kg bucket into a well. The bucket starts from rest and falls for 4.51 s. What is the linear acceleration of the falling bucket?
  4. Calculus

    The vertical position of an object is modeled by the function h(t)=-16t^2 +5t+7, where h is measured in feet and t is measured in seconds. Find the object's initial velocity (that is, the velocity at t=0). Is it 5 feet per second?
  5. math

    A diver on a platform 40 feet in height jumps upward with an initial velocity of 5ft/s. His height in h feet after t seconds is given by the function h=-16t^2+5t+50. a. What is his maximum height?
  6. Physics

    A 3.50-kg bucket is attached to a cylindrical, massive pulley with a radius of 0.440 m. The bucket starts from rest and falls for 1.3 s into a well. The tension in the rope is 13.03N. What is the magnitude of the linear acceleration …
  7. Math

    You begin to fill a bucket with water at 9 am. Each minute you double the amount of water in the bucket. If it takes you 1 hour to fill the bucket, at what time is the bucket one-quarter full?
  8. Math

    using a certain garden hose, liza can fill her fancy new bucket with water in 45 seconds. Unfortunately, Henry accidently makes a hole in the bucket, so if initially full, the bucket will now become empty in 1 minute. How long will …
  9. Calculus

    1) A particle is moving along the x-axis so that its position at t ≥ 0 is given by s(t) = (t)In(2t). Find the acceleration of the particle when the velocity is first zero. 2) The driver of a car traveling at 50 ft/sec suddenly applies …
  10. Calculus

    A ball is thrown straight down from the top of a 445-foot building with an initial velocity of -24 feet per second. Use the position function below for free-falling objects. s(t) = -16t2 + v0t + s0 What is its velocity after 2 seconds?

More Similar Questions