Precalculus

Rachel is bowling with her friends. Her bowling ball has a radius of 4.1 inches. As she bowls she tracks the location of the finger hole above the ground. She starts tracking the location when the finger hole is at the 12 o'clock position and she notices that she got some backspin on the ball and it rotates counter-clockwise.

Write a function f that determines the height of the finger hole above the ground (in inches) in terms of the number of radians a the ball has rotated since she started tracking the finger hole. (Note that a is a number of radians swept out from the 12-o'clock position.)
f(a)=

  1. 👍
  2. 👎
  3. 👁
  1. if the period is k seconds, then
    f(a) = r cos(2π/k a)

    review the sine/cosine functions

    1. 👍
    2. 👎
    👤
    oobleck

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A bowling ball weighing 71.2 N is attached to the ceiling by a 3.80 m rope. The ball is pulled to one side and released; it then swings back and forth like a pedulum. as the rope swings through its lowest point, the speed of the

  2. physical science

    A 6 kg bowling ball rolling at 5 m/s strikes a stationary 4 kg bowling ball. If ball #1 is moving forward at 2 m/s after the collision, what is the speed and direction of ball #2? What is the impulse of the system? If the

  3. Physics

    Two identical perfectly smooth 71.2 N bowling balls 21.7 cm in diameter are hung together from the same hook by two massless wires. The bowling ball are just in contact with one another, and the angle between the two wires is 50

  4. Science

    Kinetic energy is transferred from a bowling ball to a bowling pin, causing the pin to fly away at a much higher speed than the bowling ball. What does this tell you about the bowling pin?(1 point) The pin has much less kinetic

  1. Physics

    Bowling balls are roughly the same size but come in a variety of weights. Given that the official radius a bowling ball should have is roughly 0.111 m, calculate the weight of the heaviest bowling ball that will float in a fluid

  2. Science!

    If a bowling ball were moved from Earth to the moon, how would it's weight and mass change? A. The bowling ball would weigh the same, but it's mass would increase. B. The bowling ball would weigh the same, but it's mass would

  3. Geometry

    Find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches. A. 0.6 B. 0.67 C. 1.67 D. 25

  4. Physics

    A bowling ball traveling with constant speed hits the pins at the end of a bowling lane 16.5 m long. The bowler hears the sound of the ball hitting the pins 2.51s after the ball is released from his hands. What is the speed of the

  1. Mathematics -- Geometry --

    A bowling ball is a solid ball with a spherical surface and diameter 30 cm. To custom fit a bowling ball for each bowler, three holes are drilled in the ball. Bowler Kris has holes drilled that are 8 cm deep and have diameters of

  2. physics

    A bowling ball of mass 9 kg hits a wall going 11 m/s and rebounds at a speed of 8 m/s. What was the impulse applied to the bowling ball?

  3. science

    A 5.0 kg bowling ball is rolling down the lane at 4.0 m/s. What is the kinetic energy of the bowling ball? a. 40 J b. 50 J c. 80 J d. 100 J

  4. Physics

    A bowling ball weighing 71.2 is attached to the ceiling by a 3.50 rope. The ball is pulled to one side and released; it then swings back and forth like a pendulum. As the rope swings through its lowest point, the speed of the

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