A point mass is projected, making an acute angle with the horizontal. If angle between velocity $\vec{v}$ and acceleration $g$ is θ at any time t during the motion, then θ is given by
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Question

A point mass is projected, making an acute angle with the horizontal. If angle between velocity v ⃗ \vec{v} v and acceleration g g g is θ at any time t during the motion, then θ is given by

G1 Physics · Accepted Answer

Acceleration is vertically downward. During ascent, the velocity has an upward component, so the angle between v⃗ and g⃗ is greater than 90°; at the top it is 90°; during descent it is less than 90°. Thus over the motion the angle can lie anywhere between 0° and 180° (excluding the limiting endpoints). Hence option D.