md2 t05 ☼ Name:

  1. A spring with a weight on the bottom bounces up and down. At the start the amplitude is 50 cm. 10 cycles of the spring takes 20 seconds. After 10 cycles the amplitude is 40 cm.
    1. f = ____________ Calculate the frequency f of the spring.
    2. τ = ____________ Calculate the period τ of the spring.
    3. r = ____________ Calculate the decay rate r of the spring.
    4. f(t) = ____________ e^(−_______________t) sin(______________ t) Write the equation for the spring wave in terms of the time t by filling in the blanks.
  2. θ = __________ The images show a sun dog to the left of the sun. The cloud that the sun is lighting up from behind is 25 kilometers away from me. The sun dog is 10.11 kilometers to the left the sun. Calculate the angle θ in degrees at which the sun dog forms.
    sun dog sun dog sun dog Right triangle θ 25 10.11
  3. distance d = 2 v 2 sin(θ) cos(θ) 9.8 distance d = _________________ Lane's third throw of the foursquare ball to Arty was measured by Deffeny at a velocity v of 10.8 m/s. I estimated an angle θ of 35°. Calculate the distance d the ball would go based on this data.

  4. Right triangle θ 10 10.8 θ = __________ For the third throw Iumileen measured a distance of 13 meters horizontally and Jamori read a stopwatch time of 1.3 seconds for a speed of 10 m/s horizontally. The speed of the ball along the ball's flight arc as measured by Deffeny was 10.8 m/s. Use the diagram to solve for the angle θ.
  5. Produce an "east-west pointing" hexagon inscibed in a circle with a radius of 100 pixels using SVG on your computer. Call me over when you are done and show me your correctly done hexagon in a circle SVG. You must finish this sufficiently prior to the end of the period for me to properly check your result.