Question

What is the centripetal acceleration of the ball if the instantaneous velocity of the ball is doubled?

• A. a/4
• B. a/2
• C. a
• D. 2a
• E. 4a

Answer 1

Answer: (E)

4a

Initial centripetal acceleration $a=\frac{v^2}{r}$

New instantaneous velocity of the ball $v^{\prime }=2v$

Thus new centripetal acceleration $a^{\prime }=\frac{(v^{\prime }{)}^2}{r}=\frac{4v^2}{r}=4a$