Question

An object of mass $10kg$ is launched from the ground at $t=0$, at an angle of ${37}^o$ 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 $t=2$s. Find the location of second piece at $t=2s$?

• A. $(10,2)$
  
• B. $(48,16)$
  
• C. $(10,-2)$
  
• D. Information insufficient

Answer 1

Answer: (B)

$(48,16)$

$After2stheactualprojectilewouldbeat(utcos\theta ,utsin\theta -\frac{1}{2}g{t}^2)=(30\times 2cos{37}^0,30\times 2sin{37}^0-\frac{1}{2}10\times 2^2)=(48,16)$
The masses of the split up particles are not given thus, this information is insufficient to figure out the position of other piece.