calculus help check and help

if an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account is

v= mg/c(1-e^(-ct/m)) where g is the acceleration due to gravity and c is a positive constant describing air resistance.

a) calculate lim t->infinity (v.
answer: mg/c

----->what is the meaning of this limit

1)it is the time it takes the object to reach its maximum speed.

2)it is the speed the object approaches as time goes on.

3)it is the time it takes for the object to stop.

b) for fixed t us l'hospital's rule to calculate lim c->0^+ (v).

answer : tg

----->what can you conclude about the velocity of a falling object in a vacuum.

1)the velocity of a falling object in a vacuum is directly proportional to the amount of time it falls.

2)the heavier the object is the faster it will fall in a vacuum.

3)an object falling in a vaccuum will accelerate at a slower rate than an object not in a vacuum.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. a) calculate lim t->infinity (v.
    answer: mg/c

    ----->what is the meaning of this limit
    It is the "terminal velocity" (Google that) which is the speed where the drag force equals the weight. One uses a parachute so that one's terminal velocity is low enough to hit the ground without quite dying.

    2)it is the speed the object approaches as time goes on.

    In a vacuum, c = 0 so terminal velocity is undefined.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    An object dropped from a cliff falls with a constant acceleration of 10m/s2. Find its speed 2s after it was dropped? Solution:Given ,accelaration =10m/s time=2s speed=? therfore,speed=distance travelled\total time taken

  2. physical

    staring from rest, a 3.5 kg object is acted upon by an unbalanced force and acquires a speed of 14.0 m/s after moving a distance of 35 m. find (a) the acceleration of the object, (b) the unbalanced force acting on the object, and

  3. physics

    Object 1 has a velocity of 3m/s and a mass of 5kg. Object 2 also has a mass of 5kg but isn't moving. Object 1 collides with Object 2 and they move off together. Work out their speed using the principle of conservation of momentum.

  4. Physics

    An object is attached to a hanging unstretched, ideal and massless spring and slowly lowered to its equilibrium position, a distance of 5.3 cm below the starting point. If instead of having been lowered slowly the object was

  1. Physics

    1. A 10-kg object is dropped from rest. After falling a distance of 50 m, it has a speed of 26 m/s. a. Write the expression for the change in mechanical energy caused by the dissipative (air) resistive force on the object during


    1. A 4.0 N force acts for 3 seconds on an object. The force suddenly increases to 15 N and acts for one more second. What impulse was imparted by these forces to the object? 2. A railroad freight car, mass 15,000 kg, is allowed to

  3. phy

    Review. An object with a mass of m 5 5.10 kg is attached to the free end of a light string wrapped around a reel of radius R 5 0.250 m and mass M 5 3.00 kg. The reel is a solid disk, free to rotate in a vertical plane about the

  4. physics

    Three forces acting on an object are given by F1 = ( - 1.85i + 2.50j) N, F2 = ( - 5.10i + 3.25j ) N, and F3 = ( - 45.0i + 48.0j ) N. The object experiences an acceleration of magnitude 3.75 m/s2. (a) What is the direction of the

  1. physic

    An object of mass m is at rest at the top of a smooth slope of height h and length L. The coefficient of kinetic friction between the object and the surface, μk, is small enough that the object will slide down the slope if given

  2. physics

    An object of mass m has an elastic collision with another object initially at rest, and continues to move in original direction but with one-third its original speed. What is the mass of the other object in terms of m?

  3. physics

    One object is at rest and another is moving. The two collide in a one-dimensional, completely inelastic collision. In other words, they stick together and move off with shared velocity. The speed of the object that is moving

  4. physics

    A object of mass 3.00 kg is subject to a force Fx that varies with position as in the figure below. Find the work done by the force on the object as it moves as follows: (a) from x = 0 to x = 4.00 m 1 Your response differs from

View more similar questions or ask a new question.