Answer to Question #264393 in Mechanics | Relativity for Polaris

Question

A frog has fallen into a pit that is 30m deep.Each day the frog climbs 3m, but falls back 2m at night.How many days does it take for him to escape?

Answer 1

$\text{In n days and nights, the frog will rise to the height:}$

$h_1 = 3*n - 2*n = n$

$\text{If }h_1+3\ge30 \text{ means the frog has reached the top of the pit}$

$n+3\ge30$

$n\ge27; n_{min}=27$

$n_{min}+1 = 28 - \text{final jump time}$

$\text{Answer: on day 28, the frog will jump out of the pit}$