KinematicsHard
Question
Three stones A, B, C are projected from surface of very long inclined plane with equal speeds and different angles of projection as shown in figure. The incline makes an angle θ with horizontal. If HA, HB and HC are maximum height attained by A, B and C respectively above inclined plane then : (Neglect air friction)


Options
A.HA + HC = HB
B.HA2 + HC2 = HB2
C.HA + HC = 2HB
D.HA2 + HC2 = 2HB2
Solution
H = 
a⊥ is same for all the three cases.
HA =
, HB =
and HC = 
∴ HB = HA + HC
a⊥ is same for all the three cases.
HA =
∴ HB = HA + HC
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