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A football kicker can give the ball an i...

A football kicker can give the ball an initial speed of 25 m/s. What are the (a) least and (b) greatest elevation angles at which he can kick the ball to score a field goal from a point 50 m in front of goalposts whose horizontal bar is 3.44 m above the ground?

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To solve the problem, we need to determine the least and greatest elevation angles at which a football kicker can kick the ball to score a field goal. We will use the equations of motion in two dimensions, particularly focusing on projectile motion. ### Step-by-Step Solution: 1. **Identify Given Values:** - Initial speed of the ball, \( u = 25 \, \text{m/s} \) - Horizontal distance to the goalposts, \( x = 50 \, \text{m} \) - Height of the goalpost, \( h = 3.44 \, \text{m} \) ...
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