The parametric equations for the path of a projectile launched at a height h feet above the ground, at an angle

\theta

with the horizontal and having an initial velocity of

v _ { 0 }

feet per second is given by

x = \left( v _ { 0 } \cos \theta \right) t

and

y = h + \left( v _ { 0 } \sin \theta \right) t - 16 t ^ { 2 }

. The center field fence in a ballpark is 10 feet high and 400 feet from home plate. The ball is hit 2 feet above the ground. It leaves the bat at an angle of

\theta

degrees with the horizontal at a speed of 100 miles per hour as shown in the figure. Write a set of parametric equations for the path of the ball.

$The parametric equations for the path of a projectile launched at a height h feet above the ground, at an angle \theta with the horizontal and having an initial velocity of v _ { 0 } feet per second is given by x = \left( v _ { 0 } \cos \theta \right) t and y = h + \left( v _ { 0 } \sin \theta \right) t - 16 t ^ { 2 } . The center field fence in a ballpark is 10 feet high and 400 feet from home plate. The ball is hit 2 feet above the ground. It leaves the bat at an angle of \theta degrees with the horizontal at a speed of 100 miles per hour as shown in the figure. Write a set of parametric equations for the path of the ball. A) x = \left( \frac { 440 } { 3 } \cos \theta \right) t , y = 2 + \left( \frac { 440 } { 3 } \sin \theta \right) t B) x = 2 + \left( \frac { 440 } { 3 } \sin \theta \right) t , y = \left( \frac { 440 } { 3 } \cos \theta \right) t C) x = 2 + \left( \frac { 440 } { 3 } \sin \theta \right) t - 16 t ^ { 2 } , y = \left( \frac { 440 } { 3 } \cos \theta \right) t D) x = \left( \frac { 440 } { 3 } \sin \theta \right) t , y = 2 + \left( \frac { 440 } { 3 } \cos \theta \right) t - 16 t ^ { 2 } E) x = \left( \frac { 440 } { 3 } \cos \theta \right) t , y = 2 + \left( \frac { 440 } { 3 } \sin \theta \right) t - 16 t ^ { 2 }$
A)

x = \left( \frac { 440 } { 3 } \cos \theta \right) t , y = 2 + \left( \frac { 440 } { 3 } \sin \theta \right) t

x = 2 + \left( \frac { 440 } { 3 } \sin \theta \right) t , y = \left( \frac { 440 } { 3 } \cos \theta \right) t

x = 2 + \left( \frac { 440 } { 3 } \sin \theta \right) t - 16 t ^ { 2 } , y = \left( \frac { 440 } { 3 } \cos \theta \right) t

x = \left( \frac { 440 } { 3 } \sin \theta \right) t , y = 2 + \left( \frac { 440 } { 3 } \cos \theta \right) t - 16 t ^ { 2 }

x = \left( \frac { 440 } { 3 } \cos \theta \right) t , y = 2 + \left( \frac { 440 } { 3 } \sin \theta \right) t - 16 t ^ { 2 }

Find the Area of the Region Lying Between the Loops r=2−4cos⁡θr = 2 - 4 \cos \thetar=2−4cosθ

Multiple Choice

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Find the Area of the Region Lying Between the Loops $y = h + \left( v _ { 0 } \sin \theta \right) t - 16 t ^ { 2 }$

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