KinematicsHard

Question

A particle is projected  from a horizontal plane (x - z plane ) such that its velocity vector at time to is given by = aî + (b - ct)ĵ. Its range on the horizontal plane is given by : -

Options

A.
B.
C.
D.None

Solution

= aî + (b - ct)ĵ
Time to reach maximum height (when ĵ comp. of velocity becomes zero)
∴ b - ct = 0 ⇒ t = ∴  Time of flight =
Range = horizontal velocity × Time of flight = a ×

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