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Filename: controllers/calculator.php

Line Number: 37

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We can find projectile range from both speed and angle at which the ball is thrown. To find the maximum

range we use the formula

d = (V

Since the angle given is 30 degrees, the projectile range will be

d = (V

d = (20 x 20 sin (2x30))/9.8 = 400sin60/9.8 = 20.41 m

To find that to find the angle at which the ball is thrown we have to use the projectile range formula

d = (V

30 = (20 x 20 sin (2θ))/9.8 = 30x9.8/400

Sin(2θ) = 0.735

2θ = sin-1(0.735) = 47.33

180 - 47.33 = 132.67°

Answer : θ = 66.3°