5. A ball is thrown following a projectile motion. It is known that the horizontal distance (range) the ball can travel is given by R = sin 20, where r is the range (in feet), vo is the initial speed (in ft/s), 0 is the angle of elevation the ball is thrown, and g=32 ft/s2 is the acceleration due to gravity. a. Express the new range in terms of the original range when an angle 6 (0< 0 < 45°) is doubled. xiii b. If a ball travels a horizontal distance of 20 ft when kicked at an angle of a with initial speed of 20V2 ft/s, find the horizontal distance it can travel when you double a. Hint: use result of item (a).

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Chapter3: Two-dimensional Kinematics
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5. A ball is thrown following a projectile motion. It is known that the horizontal
distance (range) the ball can travel is given by R = sin 20, where r is the range (in
%3D
feet), vo is the initial speed (in f/s), 0 is the angle of elevation the ball is thrown, and
g=32 ft/s? is the acceleration due to gravity.
a. Express the new range in terms of the original range when an angle 8 (0< 0 <
45°) is doubled.
xiii
b. If a ball travels a horizontal distance of 20 ft when kicked at an angle of a with
initial speed of 20V2 ft/s, find the horizontal distance it can travel when you double a.
Hint: use result of item (a).
Transcribed Image Text:5. A ball is thrown following a projectile motion. It is known that the horizontal distance (range) the ball can travel is given by R = sin 20, where r is the range (in %3D feet), vo is the initial speed (in f/s), 0 is the angle of elevation the ball is thrown, and g=32 ft/s? is the acceleration due to gravity. a. Express the new range in terms of the original range when an angle 8 (0< 0 < 45°) is doubled. xiii b. If a ball travels a horizontal distance of 20 ft when kicked at an angle of a with initial speed of 20V2 ft/s, find the horizontal distance it can travel when you double a. Hint: use result of item (a).
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