Q. A small roller coaster starts at point A with a speed $u\ $on a curved track as shown in the figure. The friction between the roller coaster and the track is negligible and it always remains in contact with the track. The speed of roller coaster at point $D\ $on the track will be

A) $\left( u^{2} + gh \right)^{1/2}\ $
B) $\left( u^{2} + 2gh \right)^{1/2\ }$
C) $\left( u^{2} + 4\ gh \right)^{1/2}$
D) $u$
Explanation

(d) There is no loss of energy. Therefore, the final velocity is the same as the initial velocity.
Hence, The speed of roller coaster at point D is $u$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.