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Suppose a fully equipped skydiver weighing 240 lb has a terminal speed of 120 ft/s with a closed parachute and 24 ft/s with an open parachute. Suppose further that this skydiver is dropped from an airplane at an altitude of 10, 000 ft falls for 25 seconds with a closed parachute and then falls the rest of the way with an open parachute. (a) Assuming that the skydiver's initial vertical velocity is zero, use the equations Vr v(t) = e-8tv: (vo + v) - V; s(t) = so - Vet +vo + v;)(1 – e-8N:) to find the skydiver's vertical velocity and height at the time the parachute opens. Take g = 32 ft/s?. %3D Round your answers to two decimal places. ft/s Velocity = ft Height = (b) Use a calculating utility to find a numerical solution for the total time that the skydiver is in the air. Round your answer to one decimal place. seconds Total time in air =

Suppose a fully equipped skydiver weighing 240 lb has a terminal speed of 120 ft/s with a closed parachute and 24 ft/s with an open parachute. Suppose further that this skydiver is dropped from an airplane at an altitude of 10, 000 ft falls for 25 seconds with a closed parachute and then falls the rest of the way with an open parachute. (a) Assuming that the skydiver's initial vertical velocity is zero, use the equations Vr v(t) = e-8tv: (vo + v) - V; s(t) = so - Vet +vo + v;)(1 – e-8N:) to find the skydiver's vertical velocity and height at the time the parachute opens. Take g = 32 ft/s?. %3D Round your answers to two decimal places. ft/s Velocity = ft Height = (b) Use a calculating utility to find a numerical solution for the total time that the skydiver is in the air. Round your answer to one decimal place. seconds Total time in air =

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Suppose a fully equipped skydiver weighing 240 lb has a terminal speed of 120 ft/s with a closed parachute and 24 ft/s with an open parachute. Suppose further that this skydiver is dropped from an airplane at an altitude of 10, 000 ft falls for 25 seconds with a closed parachute and then falls the rest of the way with an open parachute. (a) Assuming that the skydiver's initial vertical velocity is zero, use the equations Vr v(t) = e-8t/v (vo + ve) - V;; s(1) = so – Vt +(vo + v;)(1 – e-8tv;) to find the skydiver's vertical velocity and height at the time the parachute opens. Take g = 32 ft/s?. Round your answers to two decimal places. ft/s Velocity = ft Height = (b) Use a calculating utility to find a numerical solution for the total time that the skydiver is in the air. Round your answer to one decimal place. seconds Total time in air =
Transcribed Image Text:Suppose a fully equipped skydiver weighing 240 lb has a terminal speed of 120 ft/s with a closed parachute and 24 ft/s with an open parachute. Suppose further that this skydiver is dropped from an airplane at an altitude of 10, 000 ft falls for 25 seconds with a closed parachute and then falls the rest of the way with an open parachute. (a) Assuming that the skydiver's initial vertical velocity is zero, use the equations Vr v(t) = e-8t/v (vo + ve) - V;; s(1) = so – Vt +(vo + v;)(1 – e-8tv;) to find the skydiver's vertical velocity and height at the time the parachute opens. Take g = 32 ft/s?. Round your answers to two decimal places. ft/s Velocity = ft Height = (b) Use a calculating utility to find a numerical solution for the total time that the skydiver is in the air. Round your answer to one decimal place. seconds Total time in air =
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