At a local swimming pool, the diving board is elevated h = 9.5 m above the pool's surface and overhangs the pool edge by l = 2 m. a diver runs horizontally along the diving board with a speed of v0 = 2.5 m/s and then falls into the pool. neglect air resistance. use a coordinate system with the horizontal x-axis pointing in the direction of the diver’s initial motion, and the vertical y-axis pointing up.

and,

In the question,

Taking the elevation of pool along the y-axis, and length of the board along the x-axis.

On drawing the illustration in the co-ordinate system we get,

lₓ = 2 m

uₓ = 2.5 m/s

and,

So,

From the equations of the laws of motion we can state that,

So,

On putting the values we can say that,

Now,

The equation of the motion in the horizontal can be given by,

Therefore, the equations of the motions in the horizontal and verticals are,

and,

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step-by-step explanation: