Solve the problem.The path of a projectile fired at an inclination ? (in degrees) to the horizontal with an initial speed v0 is a parabola. The range R of the projectile, that is, the horizontal distance that the projectile travels, is found by using the formula R =  sin(2?)where g is the acceleration due to gravity. The maximum height H of the projectile is H =  (1 - cos(2?))Find the range R and the maximum height H in terms of g if the projectile is fired with an initial speed of 200 meters per second at an angle of 15° and then at an angle of 22.5°. Do not use a

calculator, but simplify the answers.

What will be an ideal response?


? = 15°: R = , H = 
? = 22.5°: R = , H = 

Mathematics

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