A ball is thrown following a projectile motion.It is known that the horizontal distance (range) the ball can travel is given by R=v0²/g sin 20 ,where r is the range (in feet) ,v0 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 0(0 a. sin(28)3. Simplify the following expresssion:sin 8-cos Ba.sin 8 cas 0sec?g-tan20b.sin 8cose+cut@ sin eC.sin 94. Apply half-angle formula to finda. cos 15°b. sin 15°StC. COS-5. f we kr5. A ball is thrown folowing a projectite motion. Iit is known that the horizontalthedistance (range) the ball can travel is given by Rfeet), v, is the initial speed (in ft/s), 0 is the angle of elevation the ball is thrown, andg=32 ft/s? is the acceleration due to gravity.sin 20, where ris the range (in6. If wvala. Express the new range in terms of the original range when an angle 0 (0< 8 <45°) is doubled.b. If a ball traveis a horizontal distance of 20 ft when kicked at an angle of a withinitia! speed of 20V2 ft/s, find the horizontal distance it can travel when you double a.Hint: use result of item (a).16(A-B)Cos (A-B) = 3. Simplify thesec*g-tan20C.sin 8-cos*Ba.sin 8 cos esin 9sin 84. Apply half-angle formula to findb. sin 15°StC. COS--a. cos 15°5. A ball is thrown following a projectite motion. it is known that the horizontaldistance (range) the ball can travel is given by R =sin 20, where ris the range (infeet), v, is the initial speed (in ft/s), O is the angle of elevation the ball is thrown, andg=32 fts? 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 traveis a horizontal distance of 20 ft when kicked at an angle of a withinitial speed of 20V2 ft/s, find the horizontal distance it can travel when you double a.Hint: use result of item (a).16

Part a: When the angle of projection is doubled the new range is given by:

a. cos 15 5. A bail is thrown following a projectile motion. Iit is known that the horizontal sin 20, whereris the range (in distance (range) the ball can travel is given by R feet), v, is the initial speed (in ft/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< e < 45°) is doubled. b. If a ball traveis a horizontal distance of 20 ft when kicked at an angle of a with initia! speed of 20V2 ft/s, find the horizontal distance it can travel when you double a. Hint: use result of item (a).

a. cos 15 5. A bail is thrown following a projectile motion. Iit is known that the horizontal sin 20, whereris the range (in distance (range) the ball can travel is given by R feet), v, is the initial speed (in ft/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< e < 45°) is doubled. b. If a ball traveis a horizontal distance of 20 ft when kicked at an angle of a with initia! speed of 20V2 ft/s, find the horizontal distance it can travel when you double a. Hint: use result of item (a).