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1) In an official NBA basketball court, the 3 point line is 7.24m from a point...

1) In an official NBA basketball court, the 3 point line is 7.24m from a point directly below the basket, and the basket is 3.05 meters off of the ground. If you constructed a device that could launch a basketball from ground level at an angle of 30° above the horizon, how fast should the ball be launched in order to make a 3 point shot?

2) 4.5 billion years ago, the Earth's day was 4 hours long. If the Earth has had, and will continue to have, a constant angular acceleration, when will it stop spinning?

3) A 5kg ball is thrown straight upward with a speed of 60m/s. If air resistance provides a consistent 10N force against the direction of motion, when will the ball return to the point it was thrown from?

4) In question 3, how much total work will have been done by air resistance?

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