As shown in the figure, a small ball is launched from the ed...

Question

As shown in the figure, a small ball is launched from the edge of a horizontal table with an initial velocity and follows a projectile motion before landing on the ground. The height of the table from the ground is measured to be 5 m, and the angle between the line connecting the landing point and the table's edge and the horizontal is 45°. Taking g=10 m/s², what is the magnitude of the ball's velocity just before it hits the ground?

To find the magnitude of the ball's velocity just before it hits the ground, we can follow these steps:

Calculate the time of flight:

The vertical distance the ball falls is :

Plugging in :

Calculate the vertical velocity just before impact:

The vertical velocity just before hitting the ground can be calculated using:

Determine the horizontal velocity:

Since the angle between the line connecting the landing point and the table's edge and the horizontal is

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