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Question

Two objects are thrown up at angles of 45 and 60 respectively, with the horizontal. If both objects attain same vertical height, then the ratio of magnitude of velocities with which they are projected is
  1. 53
  2. 35
  3. 23
  4. 32


Solution

The correct option is D 32
Maximum height attained by the projectile is given by
H=u2sin2θ2g
According to question,
H1 (at θ=45) =H2 (at θ=60)
u21sin2452g=u22sin2602g 
u21u22=3412=32
u1u2=32

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