You stand 17.5 m from a wall holding a softball. You throw the softball at the wall at an angle of 38.5∘ from the ground with an initial speed of 27.5 m/s. At what height above its initial position does the softball hit the wall? Ignore any effects of air resistance.

The ball's horizontal position in the air is

It hits the wall when , which happens at

Meanwhile, the ball's vertical position is

where is the acceleration due to gravity, 9.80 m/s^2.

At the time the ball hits the wall, its vertical position (relative to its initial position) is

gravititional force is a force that is acting around you, it is non-contactable and it is a force that pulls you to the core of the earth.

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a and b sometimes have a positive value