c Suppose that L is a line tangent to the boundary of the golf green and

# C suppose that l is a line tangent to the boundary of

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(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: smallest x -coordinate = -21.20 -21.2 largest x -coordinate = 21.20 21.2
10/31/2016 hw02S2.1 10/11 7. 2/4 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 = 0.628 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. first time = 5.6 5.7 sec second time= 12.4 21 sec
10/31/2016 hw02S2.1 11/11 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. (Enter your answer as a comma-separated list of equations. Let x and y be in terms of t .) (a) Once around clockwise, starting at ( 4 , 2 ). \$\$ x =4 cos ( t ), y =2−4 sin ( t ) (b) Two times around counterclockwise, starting at ( 4 , 2 ). \$\$ x =4 cos ( t ), y =4 sin ( t )+2 (c) Halfway around counterclockwise, starting at (0, 6 ). \$\$ x =−4 sin ( t ), y =4 cos ( t )+2 Solution or Explanation Click to View Solution x 2 + ( y 2 ) 2 = 16 0 ≤ t ≤ 2 π . 0 ≤ t 4 π . 0 ≤ t π .
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