Questions
A particle is projected from ground with a velocity of 40 m/s making an angle of 30o with horizontal. Then
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.
detailed solution
Correct option is D
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<45oTalk to our academic expert!
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A ball is thrown with a velocity of u making an angle with the horizontal. Its velocity vector normal to initial vector (u) after a time interval of
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