the flat Sea or Tranquility on the moon, where g = 1.0/ m/s. A major leaguer hit

Question

the flat Sea or Tranquility on the moon, where g = 1.0/ m/s. A major leaguer hits a baseball so that it leaves the bat at a speed of 30.0 m/s and at an angle of 36.9 degree above the horizontal. You can ignore air resistance, At what two times is the baseball at a height of 10.0 m above the point at which it left the bat? Calculate the horizontal and vertical components of the baseball's velocity at each of the two times you found in part (a). (c) What are the magnitude and direction of the baseball's velocity when it returns to the level at which it left the bat?

Explanation / Answer

Assuming you know the "position equation" is a quadratic equation; and you need the "quadratic formula" to solve a quadratic equation: (Remember that every angle has a sin, cos, and tan function.) a.) Plug 10 m into the quad. formula. The result will give the two answers for time in the Y dir. (Remember to use sin of the angle for this part, as it is the Y dir.) b.) Take one of the times calculated in part "a" and plug it back into the position equation, then algebraically solve for the vel. at that point. The angle will be positive for the first time. The values are the same for the second point, except the angle will be negative. The components of these angles are calculated by using cos for the X dir, and sin for the Y dir. c.) The final vel. will be the same as the initial vel., except the angle will be negative. That's the physics of the problem; the algeba is up to you.

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