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You use a slingshot to launch a potato horizontally from the edge of a cliff with...

You use a slingshot to launch a potato horizontally from the edge of a cliff with speed v0. The acceleration due to gravity is g. Take the origin at the launch point. Suppose that +y-axis is directed upward and speed v0 is in the +x-direction.

a)How long after you launch the potato has it moved as far horizontally from the launch point as it has moved vertically? Express your answer in terms of some or all of the variables v0 and g.

b) What are the coordinates of the potato at the time it has moved as far horizontally from the launch point as it has moved vertically?

Enter the x and y coordinates separated by a comma. Express your answers in terms of some or all of the variables v0 and g.

c) How long after you launch the potato is it moving in a direction exactly 45∘ below the horizontal?

Express your answer in terms of some or all of the variables v0 and g.

d) What are the coordinates of the potato at the time it is moving in a direction exactly 45∘ below the horizontal?

Enter the x and y coordinates separated by a comma. Express your answers in terms of some or all of the variables v0 and g.

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