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The parametric equations for the path of a projectile launched at a height h feet above the ground, at an angle with the horizontal and having an initia
velocity of 10 feet per second is given by x = (vo cose)t and y=h+(vo sine) - 16t². The center field fence in a ballpark is 10 feet high and 400 fe
from home plate. The ball is hit b = 2 feet above the ground. It leaves the bat at an angle of 0 degrees with the horizontal at a speed of 100 miles per
hour as shown in the figure. Find the minimum angle at which the ball must leave the bat in order for the hit to be a home run using the parametric
440
equations x =
coset and y = 2+
440
(
3
sine-16r. Round your answer to one decimal place.
10 ft
b ft
400 ft
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Transcribed Image Text:The parametric equations for the path of a projectile launched at a height h feet above the ground, at an angle with the horizontal and having an initia velocity of 10 feet per second is given by x = (vo cose)t and y=h+(vo sine) - 16t². The center field fence in a ballpark is 10 feet high and 400 fe from home plate. The ball is hit b = 2 feet above the ground. It leaves the bat at an angle of 0 degrees with the horizontal at a speed of 100 miles per hour as shown in the figure. Find the minimum angle at which the ball must leave the bat in order for the hit to be a home run using the parametric 440 equations x = coset and y = 2+ 440 ( 3 sine-16r. Round your answer to one decimal place. 10 ft b ft 400 ft
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