(9) [5 points] A fireworks shell reaches the top of its trajectory (and is therefore briefly...

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(9) [5 points] A fireworks shell reaches the top of its trajectory (and is therefore briefly at rest) when it bursts into three pieces, all moving in the x- y plane. One piece, of mass m, moves sideways with velocity (+30 m/s) and a second piece, also of mass m, moves upward with velocity (+30 m/s). The third piece has mass 3m. (a) Find the velocity vector components of the third piece and calculate the magnitude of the velocity. (b) Draw the three vectors to scale in a coordinate system with the shell at the center (i.e. on graph paper or quadrille background). (c) Now calculate and draw the three velocity vectors if the shell burst while traveling upwards (in the + direction) at 60 m/s. Hint: just transform the velocity vectors to the moving frame of reference. (9) [5 points] A fireworks shell reaches the top of its trajectory (and is therefore briefly at rest) when it bursts into three pieces, all moving in the x- y plane. One piece, of mass m, moves sideways with velocity (+30 m/s) and a second piece, also of mass m, moves upward with velocity (+30 m/s). The third piece has mass 3m. (a) Find the velocity vector components of the third piece and calculate the magnitude of the velocity. (b) Draw the three vectors to scale in a coordinate system with the shell at the center (i.e. on graph paper or quadrille background). (c) Now calculate and draw the three velocity vectors if the shell burst while traveling upwards (in the + direction) at 60 m/s. Hint: just transform the velocity vectors to the moving frame of reference.