Question

A projectile is projected with a velocity of $v_0$ at an angle $\theta$ with the horizontal. What is the ratio of the rate of change of speed with respect to time at the point of projection to that at a point where velocity makes an angle $\theta /2$?

• A. $1$
  
• B. $2\cos \theta /2$
• C. $\cos \theta /2$
• D. $\sin \theta /2$

Answer 1

Answer: (A)

$1$

The rate of change of speed gives scalar quantity which is equal to the acceleration. In projectile motion, the acceleration at every point is constant and is equal to $g$ downwards, so ratio is always 1.

The correct option is A.