During a fireworks display, a  0.300-kg  bottle rocket approaches the top of its trajectory and explodes into two pieces as in the figure. The first piece (Piece 1) has mass  0.200 kg  and the second piece (Piece 2) has mass  0.100 kg.  Immediately after the explosion, the first piece is observed traveling to the left at a speed of  4.00 m/s  and the second piece is observed traveling at an angle  θ = 40.0°  above the horizon at a speed of  14.0 m/s. A bottle rocket is shown before and after it explodes. The x-axis points to the right and the y-axis points up. Before the explosion, the bottle rocket moves up and to the right. After the explosion, the rocket is in two peices. Piece 1, the larger piece, moves directly to the left with velocity Vf. Piece 2, the smaller piece, moves up and to the right at an angle θ above the x-axis, with velocity vf. Determine the components of the bottle rocket's velocity immediately before the explosion. Vxi  =    Vyi  =

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Chapter1: Units, Trigonometry. And Vectors
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During a fireworks display, a 

0.300-kg

 bottle rocket approaches the top of its trajectory and explodes into two pieces as in the figure. The first piece (Piece 1) has mass 

0.200 kg

 and the second piece (Piece 2) has mass 

0.100 kg.

 Immediately after the explosion, the first piece is observed traveling to the left at a speed of 

4.00 m/s

 and the second piece is observed traveling at an angle 

θ = 40.0°

 above the horizon at a speed of 

14.0 m/s.
A bottle rocket is shown before and after it explodes. The x-axis points to the right and the y-axis points up.
  • Before the explosion, the bottle rocket moves up and to the right.
  • After the explosion, the rocket is in two peices. Piece 1, the larger piece, moves directly to the left with velocity Vf. Piece 2, the smaller piece, moves up and to the right at an angle θ above the x-axis, with velocity vf.

Determine the components of the bottle rocket's velocity immediately before the explosion.

Vxi  =   
Vyi  =   
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