calculus

When a ball is thrown vertically upward
into the air with a velocity of 79 ft/sec its
height, y(t), in feet after t seconds is given by
y(t) = 79t − 16t
2
.
Find the average velocity of the ball over
the interval from 3 to 3 + h seconds, h 6=/= 0.
1. average vel. = −(17 − 16h) ft/sec
2. average vel. = −(17 + 16h) ft/sec
3. average vel. = −(21 + 16h) ft/sec
4. average vel. = −(21 − 16h) ft/sec
5. average vel. = −(17 − h) ft/sec
6. average vel. = −(21 + h) ft/sec

  1. 👍 0
  2. 👎 0
  3. 👁 329
  1. You know that the average velocity is

    [y(3+h)-y(3)]/h

    So, just plug in the numbers and grind out the answers.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. science

    a ball is thrown straight upward and returns to the thrower's hand after 3.00s in the air. A second ball is thrown at an angle of 30.0 deg with the horizontal. At what speed must the second ball be thrown so that it reached the

  2. Algebra

    THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the ground h(t) of an object thrown vertically from a height of h0 feet, with an initial velocity of v0 feet per second, if there is no air friction and t is the

  3. physics

    two students are on a balcony 20.6 m above the street. One student throws a ball vertically downward at 14.7 m/s. At the same instant, the other student throws a ball vertically upward at the same speed. The second ball just

  4. Calculus

    If a ball is thrown vertically upward from the roof of 32 foot building with a velocity of 112 ft/sec, its height after t seconds is s(t)=32+112t–16t2 . What is the maximum height the ball reaches?What is the velocity of the

  1. calculus

    If a ball is thrown vertically upward from the roof of 64 foot building with a velocity of 64 ft/sec, its height after t seconds is s(t)=64+64t–16t2 . What is the maximum height the ball reaches? What is the velocity of the ball

  2. Physics

    Two students are on a balcony 19.6 m above the street. One student throws a ball vertically downward at 14.7 m/s. Att the same instant, the other student throws a ball vertically upward at the same speed. The second ball just

  3. Physics

    Two students are on a balcony 19.6 m above the street. One student throws a ball (ball 1) vertically downward at 15.8 m/s; at the same instant, the other student throws a ball (ball 2) vertically upward at the same speed. The

  4. Calculus 1

    A ball is thrown vertically upward from ground level with initial velocity of 96 feet per second. Assume the acceleration of the ball is a(t) = -32 ft^2 per second. (Neglect air Resistance.) (a) How long will it take the ball to

  1. math

    A ball is thrown from the edge of a cliff with an initial velocity of 60·m/s upward. Answer the following questions using + (upward) and - (downward) to indicate the direction of the velocity. Ignore air resistance and assume the

  2. physics

    A tennis ball is thrown vertically upward with an initial velocity of +7.5 m/s. What will the ball’s velocity be when it returns to its starting point? The acceleration of gravity is 9.81 m/s 2 . Answer in units of m/s.

  3. College Calculus

    If a ball is thrown vertically upward from the roof of 48 foot building with a velocity of 96 ft/sec, its height after t seconds is s(t)=48+96t−16t^2. What is the maximum height the ball reaches? What is the velocity of the ball

  4. science

    13. A ball is thrown vertically upwards and it returns to the thrower after 6 sec ( g=9.8 m/s2) Find. (i) The velocity with which it was thrown up. (ii) The maximum height it reaches (iii) Its position after 4 sec.

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