math

posted by .

A diver jumps into a 10 meter deep pool from a 5 meter platform with an initial upward velocity of 3.2 meters per second. What will the divers maximum height be?

After how many second will the diver hit the water?

If the water were drained from the pool, and I launched a ball from the platform at the same initial velocity, when would the ball hit the bottom of the pool?

  • math -

    You must have seen the general equation for this type of question

    in your case you have
    height = -4.9t^2 + 3.2t + 5
    d(height)/dt = -9.8t + 3.2
    = 0 for a max of height
    9.8t = 3.2
    t = 32/98 = 16/49 seconds

    at that time,
    height = -4.9(16/49)^2 + 3.2(16/49) + 5
    = 5.52 m

    For the second part, we would have to know how deep the pool is.
    When they speak of a 10m pool, like in the Olympics, they do not refer to the depth of the pool, but rather the height of the tower for diving.
    It does not mean that the pool is 10 m deep!

    If the question was erroneously meant as such, then solve

    -4.9t^2 + 3.2t + 15 = 0

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra-Quadratic Applications

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

    The path of a cliff diver as he dives into a lake is given by the equation y= -(x-10)^2+75, where y meters is the divers height above the water and x meters is the horizontal distance travelled by the diver. What is the maximum hight …
  3. physics

    A diver is jumping straight up with 2 m/s from a 15 meter platform. Calculate the maximum height of the diver, the diver’s velocity when reaches the water, and total time to reach the water.
  4. math

    the path of a cliff diver as he dives into a lake is given by the equation y=-(x-10)power of 2 + 75...where y meters is the divers height above the water and x metres is the horizontal distance travelled by the diver. what is the maximum …
  5. physics

    Diver jumps from a 10 m platform. Air time is 2.3 s. Horizontal displacement of the divers center of mass i 4 m. What is the divers initial velocity and initial angle?
  6. physics

    Diver jumps from a 10 m platform. Air time is 2.3 s. Horizontal displacement of the divers center of mass i 4 m. What is the divers initial velocity and initial angle?
  7. College Algebra

    A sky diver jumps from a reasonable height above the ground. The air resistance she experiences is proportional to her velocity, and the constant of proportionality is 0.23. It can be shown that the downward velocity of the sky diver …
  8. math

    a diver jumps from a platform at time t=0 seconds. the distance of the diver above water level at time t is given by s(t)=-4.9t^2 +4.9t+10, where s is in meters c.) find when velocity equal zero. find the maximum height of the diver …
  9. Algebra

    A high diver is standing on a platform above a pool. Her diving path can be modeled by the function h(t)=-16t^2+8t+12, where h is her height in feet above the water and t is time in seconds. a) How high is the platform (initial height …
  10. Algebra

    Set up a system of equations for each word problem One scuba diver starts at a depth of 12 meters below the water's surface and ascends at a rate of 1 meter per second. A second diver starts at a depth of 15 feet and ascends at a rate …

More Similar Questions