(a)
To calculate:A set of parametric equations for the path of a football which a quarterback releases as a pass at an
(b)
To calculate:The speed of the football when it is released, which a quarterback releases as a pass at an angle of
(c)
To graph:The graph of the football’s path, and its approximate maximum height, when a quarterback releases a pass at an angle of
(d)
To calculate:The time the receiver has to position himself after the quarterback releases the football pass at an angle of
The time in which the receiver has to position himself after the quarterback releases the football is approximately
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Chapter 6 Solutions
Trigonometry (MindTap Course List)
- Velocity Pitcher Aroldis Chapman threw a pitch with a recorded velocity of 105 miles per hour. Assuming he threw the pitch at an angle of 3.5 below the horizontal, find the vertical and horizontal components of the velocity. (Source: Guinness World Records)arrow_forwardVelocityThe speed of an airplane is 300 mi/h relative to the air. The wind is blowing due north with a speed of 30 mi/h. In what direction should the airplane head in order to arrive at a point due west of its location?arrow_forwardHuman Cannonball Graph the parametric equations in Example 5 and then find the maximum height of the cannonball, the maximum distance traveled horizontally, and the time at which the cannonball hits the net. (Assume the barrel of the cannon and the net are the same distance above the ground.)arrow_forward
- Use parametric equations to model the path of a rider on the wheel. You want to end up with parametric equations, using t, that will give you the position of the rider every minute of the ride. Graph your results on a graphing calculator. A Ferris wheel has a diameter of 197 feet and sits 8 feet above the ground. It rotates in a counterclockwise direction, making one complete revolution every 15 minutes. Place your coordinate system so that the origin of the coordinate system is on the ground below the bottom of the wheel.arrow_forwardUse parametric equations to model the path of a rider on the wheel. You want to end up with parametric equations, using t, that will give you the position of the rider every minute of the ride. Graph your results on a graphing calculator.A Ferris wheel has a diameter of 185 feet and sits 11 feet above the ground. It rotates in a counterclockwise direction, making one complete revolution every 15 minutes. Place your coordinate system so that the origin of the coordinate system is on the ground below the bottom of the wheel. x= _____________ y= _____________arrow_forwardThe elliptical ceiling of a building is 54 ft long and 13 ft tall. Use the rectangular coordinate system in the figure shown to write the standard form of the equation for the elliptical ceiling. A man discovered that he could hear conversations of colleagues in the entire room if he stood at the focus, (c,0), where c = a? - b?. How far along the major axis did the man stand to hear the conversations? (0,13) (- 27,0) (27,0) (a) The standard form of the equation is= 1. (b) The man stood feet from the center of the ellipse. (Round to the nearest whole number as needed.)arrow_forward
- Study the diagram below. and write the parametric equation of the dotted line. (V₁, V₂, V₂), V 15 (V₁, V2, V3) + t(a,b,c) D. Write the parametric equation of the dotted line.arrow_forwardStudy the diagram below. and write the parametric equation of the dotted line. (V₁, V₂, V3) (V₁, V2, V3) + t(a, b, c)arrow_forwardHow do you find the focus and the directrix of a Prabola?arrow_forward
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