The horizontal distance that a projectile will travel in the air (ignoring air resistance) is given by
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The horizontal distance that a projectile will travel in the air (ignoring air resistance) is given by the equation
where υ0 is the initial velocity of the projectile, θ is the angle of elevation, and g is acceleration due to gravity (9.8 meters per second squared).
(a) If you can throw a baseball with an initial speed of 34.8 meters per second, at what angle of elevation θ should you direct the throw so that the ball travels a distance of 107 meters before striking the ground?
(b) Determine the maximum distance that you can throw the ball.
(c) Graph R = R(θ), with υ0, = 34.8 meters per second.
(d) Verify the results obtained in parts (a) and (b) using a graphing utility.
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