A ball is thrown with the velocity u at an angle of `alpha` to the horizon. Find (i) the height of which the ball will rise to (ii) the distance x from the point of projection to the point where it reaches to the ground and (iii) the time during which the ball will be in motion (neglect the air resistance ).

Explanation

To solve the problem of a ball thrown with an initial velocity \( u \) at an angle \( \alpha \) to the horizontal, we will break it down into three parts: finding the maximum height, the horizontal distance traveled (range), and the total time of flight.

### Step 1: Finding the Maximum Height (H)

The vertical component of the initial velocity \( u \) can be calculated using the sine function:
\[ u_y = u \sin(\alpha) \]
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