Two particles A and B of masses 1 kg and 2 kg respectively are projected with speed uA=200 ms−1 and uB=50 ms−1 in the directions as shown in figure. Initially they were 90 m apart. They collide in the midair and stick with each other. Find the maximum height attained by the centre of mass of the system.[Assume acceleration due to gravity to be constant as g=10 ms−2]

Two particles A and B of masses 1 kg and 2 kg respectively are project

1.	Two particles A and B of masses 1 kg and 2 kg respectively are projected with speed uA=200 ms−1 and uB=50 ms−1 in the directions as shown in figure. Initially they were 90 m apart. They collide in the midair and stick with each other. Find the maximum height attained by the centre of mass of the system.[Assume acceleration due to gravity to be constant as <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->g=10 ms−2]
Answer» Two particles $A$ and $B$ of masses $1 kg$ and $2 kg$ respectively are projected with speed $u_{A} = 200 {ms}^{- 1}$ and $u_{B} = 50 {ms}^{- 1}$ in the directions as shown in figure. Initially they were $90 m$ apart. They collide in the midair and stick with each other. Find the maximum height attained by the centre of mass of the system. [Assume acceleration due to gravity to be constant as <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $g = 10 {ms}^{- 2}$ ]

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