pre-calc

Physics: a ball is thrown vertically upward with an initial velocity of 80 feet per second. the distance (in feet) of the ball from the ground after t seconds if s=80t-16tt^2

a) draw the illustration
b) for what time interval is the ball more than 96 feet above the ground?
c) what is the maximum height of the ball?
d) after how many seconds does the ball reach the maximum height?

  1. 👍
  2. 👎
  3. 👁
  1. b)
    80t - 16t^2 > 96
    16t^2 - 80t + 96 < 0
    t^2 - 5t + 6 < 0
    (t-2)(t-3) < 0

    so the ball is higher than 96 for
    2 < t < 3, that is, between 2 and 3 seconds

    c) s = -16(t^2 - 5t + 25/4 - 25/4)
    = -16(t-5/2)^2 + 100

    I will leave it up to you to interpret that result.

    1. 👍
    2. 👎
  2. another great help!

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math-

    A ball is thrown vertically upward with an initial velocity of 96 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s(t)=96t-16t^2 a.) at what time will the ball strike the ground b.) for

  2. 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

  3. 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

  4. 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

  1. calculus

    A ball is thrown vertically upwards from a height of 6 ft with an initial velocity of 60 ft per second. How high will the ball go? Note that the acceleration of the ball is given by a(t)= 32 feet per second per second.

  2. Calculus

    Use a(t)=-32 ft/second squared as the acceleration due to gravity. A ball is thrown vertically upward from the ground with an initial velocity of 96 feet per second. How high will it go?

  3. Physics

    A tennis ball is thrown vertically upward with an initial velocity of +8.0 m/s. a. what will the ball's speed be when it returns to its starting point? b. how long will the ball take to reach its starting point?

  4. 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

  1. physics

    A ball is thrown vertically upward with an initial speed of 20 m/s. Two seconds later, a stone is thrown vertically (from the same initial height as the ball) with an initial speed of 24 m/s. At what height above the release point

  2. math

    A ball is thrown vertically upward from the ground with an initial velocity of 110ft/sec. Use h=−16t2+v0t+h0 I have no idea what i am doing

  3. Pre-Calculus

    A ball is thrown vertically upward with an initial velocity of 64 feet per second. The distance(in feet) of the ball from the ground after t seconds is s=64t-16t. At what time will the ball strike the ground? For what time t is

  4. algebra

    A ball is thrown vertically upward with an initial velocity of 128 feet per second, the ball’s height after t second is s(t) = 128t – 16t². a. Find the average velocity from 2 to 4 seconds.

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