Answer:
14 m
Explanation:
trained dolphins are capable of a vertical leap of 7 m.
[tex]g=9.8 m/s^2[/tex]
max range occurs when [tex]\alpha =45[/tex]
formula:
[tex]maximum height=(v-sin\alpha )^2/(2g)[/tex]
putting values
[tex]7m=(v*sin(45))^2/(2*9.8m/s^2)[/tex]
[tex]7m= v^2 *1 /19.6 m/s^2[/tex]
[tex]v^2=137.2m^2/s^2[/tex]
[tex]range= (v^2sin(2\alpha ))/g[/tex]
[tex]range =137.2 m^2/s^2 *1/9.8m/s^2[/tex]
simplifying we get the answer
maximum horizontal range =[tex]14m[/tex]