Math

posted by .

The highest dive in the Olympic Games is from a 10-meter platform. The height "h" is in meters of a diver "t" seconds after leaving the platform can be estimated by the equation, h=10+4.9t-4.9t^2

I don't know how to make a successful table for this. I tried 0.1, 0.2, etc.. but that doesn't seem to work.

  • Math -

    when t=.1 , h = 10 + 4.9(.1) - 4.9(.1)^2 =10.441
    when t= .2 , h= 10 + 4.9(.2) - 4.9(.2)^2 = 10.784


    what do you mean it "doesn't seem to work" ?

    He clearly jumps upwards for a short time before his height decreases.
    Just keep going the way I showed you.

  • Math -

    The general equation for the height of an object falling from a height of H is
    h = H - Vot - 9.8t^2/2 where H = the initial height in meters, Vo = the initial downward velocity in m/sec., 9.8 = the acceleration due to gravity in m/sec.^2 and t = the time to impact in seconds.

    Your equation should therefore read
    h=10-4.9t-4.9t^2, where I assume you have selected H = 10 and Vo as 4.9 m/s.

    For t = .10, h = 10 - .49 - .049 = 9.461m.
    For t = .20, h = 10 - .98 - .196 = 8.824m.
    For t = .30, h = 10 - 1.47 - .441 = 8.089m.

    t----.10----.20---.30------1.973
    h...9.461..8.824..8.089.....10

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    A diver dives from a platform with a height of 11 meters. What is the change in elevation of the dive?
  2. physics

    An olympic diver springs forward off a 10 meter platform. He enters the water 8 meters beyond the edge of the platform. how much time does it spend in the air?
  3. Physics

    An Olympic diver performs a dive from the 10 m platform and achieves a speed of 14 m/s just before entering the water. Neglecting air friction, approximately how many times larger the diver’s speed than the diver would have achieved …
  4. math

    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?
  5. Math

    Suppose an equation that describes the path of a diver when diving off a platform is d = -5t^2 + 10t + 20. Where d is the distance above the water in (feet) and t is the time from the beginning of the dive(seconds). After how many …
  6. Math

    An object is launched at 9.8 meters per second from a 73.5-meter tall platform. The object's height s (in meters) after t seconds is given by the equation s(t)= -4.9t(-4.9t) - 9.8t = 73.5. When does the object strike the ground?
  7. 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 …
  8. Math

    An object is launched at 9.8 meters per second from a 73.5-meter tall platform. The object's height s (in meters) after t seconds is given by the equation s(t)= -4.9t(-4.9t) - 9.8t = 73.5. When does the object strike the ground?
  9. Advanced Functions

    A diver is on the 10 m platform, preparing to perform a dive. The diver’s height above the water, in metres, at time t can be modelled using the equation h(t)= 10+ 2t - 4.9t^2. a) Determine when the diver will enter the water. b) …
  10. Physics

    Olympic diver performs a dive from the 10 m platform and achieves a speed of 14 m/s just before entering the water. Neglecting air friction, approximately how many times larger the diver’s speed than the diver would have achieved …

More Similar Questions