Hard

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

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