math
posted by bob HELP NEEDED HELP NEEDED HELP NEEDED .
a bootlenose dolphin jumps out of the water. the path the dolphin travels can be modeled by h=0.2d^2+2d, where h represents the height of the dolphin in feet and d represents the horizontal distance.
a) assume that all energy is conserved. what is the initial velocity with which the dolphin leaves the water? round your answer to the nearest hundredth. (Disregard water resistance; g=32f/s^2
b) Convert the initial velocity to mph. Round your answer to the nearest hundredth. (1 mile= 5,280 feet)

math 
bobpursley
h=.2d^2+2d
dh/dt=.4d dd/dt+2dd/dt
so at max height, dh/dt=0
0=(.4d+2)dd/dt
but dd/dt is the horizontalveloicy, it can be anything. d=5ft
So without knowing horizontal velocity, I don't know how you can solve for initial velocity.
Respond to this Question
Similar Questions

math
a bootlenose dolphin jumps out of the water. the path the dolphin travels can be modeled by h=0.2d^2+2d, where h represents the height of the dolphin in feet and d represents the horizontal distance. What is the maximum height the … 
math
a bootlenose dolphin jumps out of the water. the path the dolphin travels can be modeled by h=0.2d^2+2d, where h represents the height of the dolphin in feet and d represents the horizontal distance. What is the maximum height the … 
Physic
A dolphin experiences a force of 320 N [up] when it jumps out of the water. The acceleration of the dolphin is 2.6 m/s 2 [up]. (a) Calculate the mass of the dolphin. (b) What would be the acceleration of the dolphin if it had the same … 
physics
A trained dolphin leaps from the water with an initial speed of 12 m/s. It jumps directly towards a ball held by the trainer a horizontal distance of 5.50 m away and a vertical distance of 4.10 m above the water. In the absence of … 
Physics
A dolphin jumps with an initial velocity of 13.0at an angle of 44.0 above the horizontal. The dolphin passes through the center of a hoop before returning to the water. If the dolphin is moving horizontally when it goes through the … 
physics
A dolphin experiences a force of 320 N [up] when it jumps out of the water. The acceleration of the dolphin is 2.6 m/s 2 [up]. (a) Calculate the mass of the dolphin. (b) What would be the acceleration of the dolphin if it had the same … 
Math Geometry  Please check my answers!
There's a line graph with 3 dolphins (it's the same dolphin at different spot of the jump) jumping out of the water and landing (they formed a parabola). The Yaxis represents Height in feet and the Xaxis represents Time in Seconds. … 
math
A dolphin is swimming with her friend. The dolphin jumps to a height of 4.5, meters above the surface of the water as her friend swims 9.8 meters directly below her. What is the position of the dolphin's friend relative to the surface … 
help on math
Dolphin 1 dove 200 feet under water. Dolphin 2 dove 30% farther. After Dolphin 2 dove down, it ascended 25 1/2 feet and then descended 40 1/2 feet. How far under the water is Dolphin 2? 
math help please
Dolphin 1 dove 200 feet under water. Dolphin 2 dove 30% farther. After Dolphin 2 dove down, it ascended 25 1/2 feet and then descended 40 1/2 feet. How far under the water is Dolphin 2?