Find the initial speed of the ball

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Suppose a soccer player kicks the ball from a distance 31 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be 49° above the horizontal.

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Projectile Motion

A projectile is an object that is thrown without any fuel. Usually, a projectile is thrown with a velocity making an angle with respect to the horizontal. Examples of a projectile are meteors and an artillery gun firing at enemy positions. 

If a projectile is thrown with velocity v at an angle θ with respect to the horizontal, then its trajectory looks like this

Advanced Physics homework question answer, step 1, image 1

R and H are the range and maximum height attained by the projectile. 

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