A point mass is projected, making an acute angle with the horizontal. If angle between velocity and

Question

A point mass is projected, making an acute angle with the horizontal. If angle between velocity and acceleration is &#952; at any time t during the motion, then &#952; is given by

Accepted Answer

Acute Angle of Velocity with horizontal possible is − 90^o to + 90^o hence angle with g is 0^o to180^o.
θ₁ is acute
⇒ 0^o ≤ θ₁ < 90^o (during the upward journey of mass)

from fig . θ = 90^o + θ₁
or, 90^o ≤ θ < 180^o .......(1)
During downward motion

0^o < θ₂ < 90^o
θ = 90º − θ₂
0^o < θ < 90^o                         .......(2)
From eq. (1) and (2)
i.e., 0 < θ < 90^o         U     90^o ≤ θ < 180^o
⇒    0^o < θ < 180^o         ″D″ Ans.

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