Adolphin is trying to jump through a hoop that is fixed at a height of 3.5 m above the surface of her pool. the dolphin leaves the water at an angle of inclination of 40°. determine the minimum speed the dolphin will need when leaving the water in order to reach the height of the hoop.

When a vertical beam of light passes through a transparent medium, the rate at which its intensity i decreases is proportional to i(t), where t represents the thickness of the medium (in feet). in clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity i0 of the incident beam. what is the intensity of the beam "10" feet below the surface? (give your answer in terms of i0. round any constants or coefficients to five decimal places.)