1. Questions

math

A stunt motorcyclist makes a jump from one ramp 20 feet off the ground. The jump between ramps can be modeled by y= -1/640x^2 + 1/4x +20 where x is the horizontal distance (in feet) and y is the height above ground (in feet).
I think a is 20 feet, but I don't know how to do b, c, or d. Please show me how to do the problems.
A. What is the motorcyclists height when he lands on the ramp?
B. What is the distance d between the ramps?
C. What is the horizontal distance h the motorcyclist has traveled when it reaches its maximum height?
D. What is the motorcyclists maximum height k above the ground.

  1. 👍
  2. 👎
  3. 👁
Joel

  1. A) If the two ramps have the same height, then your are correct at 20 ft. The height as he leaves the ramp is 20 , so hopefully he lands on the 2nd ramp at a height of 20 ft

    B) set y = 20

    - 1/640x^2 + (1/4)x + 20 = 20
    multiply by -640
    x^2 - 160x = 0
    x(x - 160) = 0
    x = 0 or x = 160

    so the distance from take-off to landing is from 0 to 160.
    So the distance between them is 160 ft

    C) the max height would be at the vertex , that is, when the x = 80
    so he reaches the highest point at the 80 ft mark

    d) to get the max height, plug in x = 80 into the original equation
    I will let you do that, let me know what you get.

    1. 👍
    2. 👎
    Reiny

  2. D is 30 feet above the ground.

    1. 👍
    2. 👎
    Joel

  4. correct, that is what I had

    1. 👍
    2. 👎
    Reiny

  5. 30

    1. 👍
    2. 👎
    Sydney

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    The function y = –0.296x^2 + 2.7x models the length x and height y that your sister's pet rabbit can jump, in centimeters. How high does the rabbit jump? One the rabbit reaches the ground what is the total length of the jump? I

  2. physics

    Surprisingly, very few athletes can jump more than 2.0 ft (0.62 m) straight up. Use d = 1/2 gt2 and solve for the time one spends moving upward in a 2.0 foot vertical jump. Then double it for the "hang-time" -- the time one's feet

  3. Math

    Sarah competes in a long jump competition. Her first jump is 4.25m. Her best jump is 12% more than this. However, her best jump is 15% lower than the winning jump. Work out the length of the winning jump.

  4. Physics

    A 60kg skier starts from rest at a height of 20m above the end of a ski-jump and leaves the ramp at an angle of 28 degrees. Neglet air resistance and assume the ramp is frictionless. A) What is the max height (h) of his jump above

  1. physics

    The froghopper (Philaenus spumarius), the champion leaper of the insect world, has a mass of 12.3mg and leaves the ground (in the most energetic jumps) at 4.00m/s from a vertical start. The jump itself lasts a mere 1.00ms before

  2. Physics

    A water skier lets go of the tow rope upon leaving the end of a jump ramp at a speed of 17.9 m/s. As the drawing indicates, the skier has a speed of 11.1 m/s at the highest point of the jump. Ignoring air resistance, determine the

  3. geometry

    A wheelchair ramp has a rise from the ground of 1 foot. The ramp has a length of 14 feet. To the nearest degree, find the angle the ramp makes with the sidewalk.

  4. Physics

    An athlete competing in long jump leaves the ground with a speed of 9.14 m/s at an angle of 35 degrees above the horizontal. What is the length of the athlete's jump?

  1. Geometry

    A jump ramp for waterskiing makes an angle of 15 degree with the surface of the water. The ramp rises 1.58m above the surface. What is the length of the ramp to the nearest hundredth of a meter?

  2. math

    A my diver jumped from an airplane. He used his watch to time the length of his jump. His height above the ground can be modelled by h= -5(t-4)^2+2500, where h is his height above the ground in meters and t is time in seconds from

  3. physics

    A motorcycle daredevil is attempting to jump across as many buses as possible (see the drawing). The takeoff ramp makes an angle θ = 16.8° above the horizontal, and the landing ramp is identical to the takeoff ramp. The buses

  4. Math

    Sarah competes in a long jump competition her first jump is 4.25 m her best jump is 4% more than this however her best jump is 15% lower than the winning jump work out the length of the winning jump

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