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 24, where r is the range (in feet), vo is the initial speed (in ft/s), @ is the angle of elevation the bali 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< 8< 45°) is doubled. b. If a ball travels a horizontai distance of 20 ft when kicked at an angle of a with initial speed of 20/2 tus, find the horizontal distance it can travel when you double a. Hint: use result of item (a).

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter3: Motion In Two Dimensions
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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 24, where r is the range (in
feet), vy is the initial speed (in ft/s), B is the angle of elevation the bal 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< @ <
45°) is doubled.
b. If a balt travels a horizontai distance of 20 t when kicked at an angle of a with
initial speed of 20/2 fus, find the horizontal distance it can travel when you double z.
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 24, where r is the range (in feet), vy is the initial speed (in ft/s), B is the angle of elevation the bal 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< @ < 45°) is doubled. b. If a balt travels a horizontai distance of 20 t when kicked at an angle of a with initial speed of 20/2 fus, find the horizontal distance it can travel when you double z. Hint: use result of item (a).
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