Ball is located as in the picture below the ball

This preview shows page 7 - 9 out of 9 pages.

ball is located as in the picture below. The ball follows a straight line path and exits the green at the right-most edge. Assume the ball travels 12 ft/sec. Introduce coordinates so that the cup is the origin of an xy -coordinate system. Provide numerical answers below with two decimal places of accuracy. (a) The x -coordinate of the position where the ball enters the green will be . T F
(b) The ball will exit the green exactly
(c) Suppose that L is a line tangent to the boundary of the golf green and parallel to the path of the ball. Let Q be the point where the line is tangent to the circle. Notice that there are two possible positions for Q . Find the possible x coordinates of Q: -
12/14/16, 4(17 PM hw02S2.1 7. 4/4 points | Previous Answers A Ferris wheel of radius 100 feet is rotating at a constant angular speed ω rad/sec counterclockwise. Using a stopwatch, the rider finds it takes 4 seconds to go from the lowest point on the ride to a point Q , which is level with the top of a 44 ft pole. Assume the lowest point of the ride is 3 feet above ground level. Let Q(t)=(x(t),y(t)) be the coordinates of the rider at time t seconds; i.e., the parametric equations. Assuming the rider begins at the lowest point on the wheel, then the parametric equations will have the form: x(t)=r cos( ω t- π /2 ) and y(t)=r sin( ω t - π /2 where r , ω can be determined from the information given. Provide answers below accurate to 3 decimal places. (Note: We have imposed a coordinate system so that the center of the ferris wheel is the origin. There are other ways to impose coordinates, leading to different parametric equations.) ), (a) r = 100 100 feet (b) ω = 0.235 0.235 rad/sec (c) During the first revolution of the wheel, find the times when the rider's height above the ground is 80 feet.
Page 8 of 9
12/14/16, 4(17 PM hw02S2.1 Page 9 of 9 8. 3/3 points | Previous Answers SCalcET7 10.1.033. Find parametric equations for the path of a particle that moves along the circle in the manner described.

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture