A particle is projected from ground with a velocity of 40 m/s making an angle of 30o with horizontal. Then
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a
After 2 sec, its velocity vector will be perpendicular to the initial velocity vector.
b
After 3 sec, its velocity vector will be perpendicular to the initial velocitylk vector.
c
After 3.5 sec, its velocity vector will be perpendicular to the initial velcoity vector.
d
Velocity vector of the particle will never be perpendicular to the initial velocity vector.
answer is D.
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Detailed Solution
Velocity vector will be perpendicular to a the initial velocity vector if angle of projection is greater than 45o.Since u→ is perpendicular to V→,u→.v→=0i.e. ucosαi^+usinαj^.ucosαi^+usinα−gtj^=0⇒ t=ugsinαNow t>T⇒ugsinα>2usinαg⇒α<45o