Can someone just lead me in the right direction please

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The discussion focuses on solving a projectile motion problem involving a football kicked at an initial speed of 22 m/s. The ball travels 45 meters horizontally before hitting the ground. To determine the launch angle, the vertical and horizontal components of the initial velocity are calculated using trigonometric functions. The time of flight is derived from the equations of motion, leading to a comprehensive understanding of projectile dynamics.

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1. A football is kicked with an initial speed of 22m/s at some angle above the horizontal. It travels 45 meters horizontally before hitting the ground.
a. At what angle was the ball initially kicked?
b. How long does it stay in the air?
 
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Split the 22m/s into vertical ( Vy = 22*sin theta) and horizontal components
(Vx =22*Cos theta). Now use the fact that Vy at the highest pt is 0.(use 0 = 22 sin theta - 9.8*t1).
also since motion in the horizontal direction is uniform motion
45 = 22 Cos theta / t.
Also the time taken to reach the highest pt. is half the time taken to reach the ground. ==> t = 2*t1.
 

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