- #1
CAF123
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Homework Statement
I am doing a problem involving a man dropping a ball from the top of a mast of a ship at [itex] t =0 [/itex] a height [itex] h [/itex] above the origin of a ship's coordinate system.
In the sea's frame of reference, the ship is moving with velocity [itex] u\hat{i} [/itex]. The origins of these two frames coincide at [itex] t =0 [/itex].
The question asks to calculate the position, velocity and acceleration vectors (of the ball)and sketch the position of the ball in both frames of reference, as a function of t.
The Attempt at a Solution
So I got the position vector in the frame of the sea as [itex] \vec{h_s} = ut\hat{i} - \frac{1}{2}gt^2\hat{k}, [/itex] and that in the frame of the ship as [itex] \vec{h_b} = -\frac{gt^2}{2}\hat{k} [/itex]. How do you go about sketching these as functions of t?
Many thanks