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Q. Find the time after which the particle's initial velocity will be perpendicular to instantaneous velocity when it is projected with $30 \, m/s$ from horizontal ground by making an angle $60^\circ $ with vertical.

NTA AbhyasNTA Abhyas 2020Motion in a Plane

Solution:

Angle made by projectile with horizontal is $30^\circ $ which is less than $45^\circ .$ Hence the two velocities are not perpendicular at any instant