Question

A cylindrical pipe of radius r is rolling towards a creature sitting on the horizontal ground, with the centre moving at a constant velocity of $v$. The creature jumps off with a velocity of $u$ at an angle $\theta$ with the horizontal such that it passes over the pipe touching it only at the top. The minimum horizontal range of the creature of the frog is:

• A. $R_{min} = 4r - 4u\sqrt{\frac{r}{g}}$
• B. $R_{min} = 2r + 4v\sqrt{\frac{r}{g}}$
• C. $R_{min} = 4r - 4v\sqrt{\frac{r}{g}}$
• D. $R_{min} = 4r - 2v\sqrt{\frac{r}{g}}$

Answer 1

Answer: (B)

$R_{min} = 2r + 4v\sqrt{\frac{r}{g}}$

Answer 2

The minimum horizontal range of the creature is $R_{min} = 2r + 4v\sqrt{\frac{r}{g}}$.