Aball is horizontally projected off the end of a bench 1.25m above the ground with a speed of 4m/s .how far from the base of the bench does the ball land?

2 m

Explanation:

We can solve this problem related to parabolic motion with the following equations:

(1)

(2)

Where:

is the ball's final jeight

is the ball's initial height

is the ball's initial vertical velocity, since the ball is horizontally  projected

is the time

is the acceleration due gravity

is the ball's horizontal range

is the ball's initial horizontal velocity

Isolating from (1):

(3)

(4)

(5)

Substituting (5) in (2):

(6)

Finally we find how far horizontally the ball lands:

(7)

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