Question

Angle between velocity and acceleration vectors in the following cases are given below. Match the correct pairs.

List I List II

a) Vertically projected body	e) ${90}^0$
b) For freely dropped body	f) changes from point to point
c) For projectile	g) zero
d) In uniform circular motion	h) ${180}^0$

• A. $a\to h,b\to g,c\to f,d\to e.$
• B. $a\to f,b\to g,c\to h,d\to e$.
• C. $a\to e,b\to f,c\to h,d\to g$.
• D. $a\to g,b\to h,c\to e,d\to f.$

Answer 1

Answer: (A)

(a) The direction of motion gives velocity which is in upward direction and the acceleration due to gravity acting in downward direction always hence angle is ${180}^0$.

(b) Body is moving in downward direction hence velocity is in downward direction and acceleration is acting downwards hence angle is zero.

(c) In projectile motion, particle has velocity changing from point to point but acceleration acting in downward direction always.

(d) In uniform circular motion velocity is always tangential to the circular path at each point and centripetal acceleration acting always inwards towards center hence angle is ${90}^0$.