a rocket shot at 22m/s at 75 degrees above the horizontal explodes into four equal pieces at the highest point of its trajectory. One piece moves horizontally at 2m/s, a second one moves vertically upward at 3m/s and a third moves at 1.5 m/s vertically downward. What is the velocity of the fourth piece?

a rocket shot at 22m/s at 75 degrees above the horizontal explodes into four equal pieces...
A model rocket is shot straight up and explodes at the top of
its trajectory into three pieces as viewed from above and shown in
the figure below. The masses of the three pieces are
mA = 110.0 g,
mB = 20.0 g,
and
mC = 30.0 g.
Immediately after the explosion, piece A is traveling at 1.40
m/s, and piece B is traveling at 6.90 m/s in a direction 30° below
the negative x axis as shown. What is...
A rocket used for fireworks explodes just when it reaches its highest point in a vertical trajectory. It initially bursts into three fragments with masses of m, 3m, and 4m, each of these to explode slightly later. If the 4m fragment falls vertically with an initial velocity of 8 m/s, and the 3m fragment is ejected with a velocity of 10 m/s at an angle of 30° above the horizontal, find the velocity of the third fragment.
Q6: A vessel at rest at the origin of a xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves with velocity of -20 m/s î, and a second piece, of mass 2m, moves with a velocity of -40m/s ĵ. The third piece has mass of 3m. Just after the explosion, what are the magnitude of the velocity of the third piece?
A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves with velocity (-47 m/s) and a second piece, also of mass m, moves with velocity (-47 m/s) . The third piece has mass 3m. Just after the explosion, what are the (a) magnitude and (b) direction (as an angle relative to the +x axis) of the velocity of the third piece?
A model rocket is shot straight up and explodes at the top of its trajectory into three pieces as viewed from above and shown in the figure below. The masses of the three pieces are mA-107.5 g, ms- 20.0 g, and mc 30.0 g. Immediately after the explosion, piece A is traveling at 1.30 m/s, and piece B is traveling at 6.50 m/s in a direction 30° below the negative x axis as shown. What is the velocity of piece...
A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves with velocity (-32 m/s) i Overscript ̂ EndScripts and a second piece, also of mass m, moves with velocity (-32 m/s) j Overscript ̂ EndScripts. The third piece has mass 3m. Just after the explosion, what are the (a) magnitude and (b) direction (as an angle relative to the +x axis) of the velocity...
An object, hanging at rest, explodes, breaking into three pieces. Two pieces, one with twice the mass of the other, fly off perpendicular to one another with the same speed of 31.4 m/sec. The third piece has three times the mass of the lightest piece. Find the magnitude and direction of its velocity immediately after the explosion. (I defined this problem with the mass m going in the +x direction, the mass 2m going in the +y direction, and the...
A bomb at rest at the origin of an xy-coordinate system explodes into three pieces. Just after the explosion, one piece, of mass 2 kg, moves with a velocity of 43 m/s in the negative x-direction, and a second piece, also of mass 2 kg, moves with a velocity of 30 m/s in the negative y-direction. The third piece has a mass of 7 kg. What is the initial momentum of the bomb before the explosion? What is the x-component...
A missile is shot straight up into the air. At the peak of its trajectory, it breaks up into three pieces of equal mass, all of which move horizontally away from the point of the explosion. One piece travels in a horizontal direction of 35° east of north with a speed of 31 m/s. The second piece travels in a horizontal direction of 11° south of west with a speed of 7 m/s. What is the velocity of the remaining...
A cannonball of mass 27.6 kg is shot into the air at an angle of 45 degrees with respect to horizontal. At the top of its ballistic trajectory, the cannonball suddenly explodes into two separate pieces, a smaller piece this is 1/3 the original mass, and a larger piece that is 2/3 the original mass. The smaller piece ends up landing right back at the spot where the cannonball was originally launched, 14.7 seconds after it was launched. How far...