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Question

An object of mass 10kg is launched from the ground at t=0, at an angle of 37o above the horizontal with a speed of 30m/s. At some time after its launch, an explosion splits the projectile into two pieces. One piece of mass 4 kg is observed at (105m,43m) at t=2s. Find the location of second piece at t=2s?

A
(10,2)
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B
(48,16)
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C
(10,2)
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D
Information insufficient
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Solution

The correct option is A (48,16)
After2stheactualprojectilewouldbeat(utcosθ,utsinθ12gt2)=(30×2cos370,30×2sin3701210×22)=(48,16)
The masses of the split up particles are not given thus, this information is insufficient to figure out the position of other piece.

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