Answer:14 m
Explanation:
Given
Vertical jump make by the dolphin is given by [tex]h=7\ m[/tex]
Suppose the dolphin jump with an initial velocity of [tex]u[/tex]
so u is given by [tex]u^2=2\cdot g\cdot h[/tex]
If dolphin launches at an angle [tex]\theta [/tex] then maximum horizontal range is given by
assuming the of Dolphin to be Projectile so range is given by
[tex]R=\frac{u^2\sin 2\theta }{g}[/tex]
substitute the value of [tex]u^2[/tex]
[tex]R=\frac{2\times 9.8\times 7\sin 2\theta }{9.8}[/tex]
[tex]R=2h\sin 2\theta [/tex]
Range will be maximum for [tex]\theta =45^{\circ}[/tex]
thus [tex]R_{max}=2\times 7\times 1=14\ m[/tex]