A ball is thrown following a projectile motion. It is known that the horizontal distance (range) the ball can travel is given by R = "o sin 20 where R is the range (in feet), vo is the initial speed (in ft/s), 0 is the angle of elevation in the ball is thrown, and g = 32 ft/sec² is the acceleration due to gravity. a. Express the new range in terms of the original range when an angle 0 (0 < 0 s 45º) is doubled. b. If a ball travels a horizontal distance of 20 ft when kicked at an angle of ß with initial speed of 20 v2 ft/s, find the horizontal distance it can travel when you double B?

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.