Question

What maximum horizontal range could the dolphin achieve?

Answer 1

Answer:

14 m

Explanation:

trained dolphins are capable of a vertical leap of 7 m.

$g=9.8 m/s^2$

max range occurs when  $\alpha =45$

formula:

$maximum height=(v-sin\alpha )^2/(2g)$

putting values

$7m=(v*sin(45))^2/(2*9.8m/s^2)$

$7m= v^2 *1 /19.6 m/s^2$

$v^2=137.2m^2/s^2$

$range= (v^2sin(2\alpha ))/g$

$range =137.2 m^2/s^2 *1/9.8m/s^2$

simplifying we get the answer

maximum horizontal range =$14m$