Question

A body is projected, making an acute angle \( \theta \) with the horizontal. If angle between velocity \( \vec{v} \) and acceleration \( \vec{g} \) is \( \theta \), then

• A. \( \theta = 90^\circ \)
• B. \( \theta = 0^\circ \)
• C. \( 90^\circ < \theta < 180^\circ \)
• D. \( \theta < 180^\circ \)

Hint:

In projectile motion, the angle between the velocity and acceleration is always less than 180°.

Answer 1

The Correct Option is D

Step 1: Understand the motion of a projected body.
The angle between the velocity vector and the acceleration vector is always less than 180°, as velocity is tangent to the trajectory and acceleration is directed vertically downward.
Step 2: Conclusion.
Hence, the angle \( \theta \) between the velocity and the acceleration is always less than 180°. Final Answer: \[ \boxed{\theta < 180^\circ} \]