Question

In: Advanced Math

An eagle is flying horizontally at the altitude of 400 ft with a velocity of 16...

An eagle is flying horizontally at the altitude of 400 ft with a velocity of 16 ft/s when it drops a dead prey. A frog jumps 2 seconds later at a site facing away from the eagle and 60 ft from the point beneath the original position of the bird. If the frog catches the falling prey at the height of 144 ft, determine the initial speed and angle of inclination of the frog. Please use an advanced math way using vector-valued functions to solve it (Calculus 3).
A note: h = 400 , b = 144 , a = 60

Solutions

Expert Solution


Related Solutions

A plane is flying horizontally at an altitude of 2 mi and a speed of 500...
A plane is flying horizontally at an altitude of 2 mi and a speed of 500 mph passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 3 miles away from the station. Round the final answer to three decimal places
A cargo plane is flying horizontally at an altitude of 11.7 km with a constant speed...
A cargo plane is flying horizontally at an altitude of 11.7 km with a constant speed of 900 km/hr when a large crate slides out of the rear of the plane. (a) How long does it take the crate to hit the ground? The acceleration of gravity is 9.81 m/s 2 . Answer in units of s. (b) What is the horizontal distance of the crate from the point it fell off to the point where it hits the ground?...
An eagle is flying horizontally at a speed of 4.8 m/s when the fish in her...
An eagle is flying horizontally at a speed of 4.8 m/s when the fish in her talons wiggles loose and falls into the lake 7 m below. Calculate the speed of the fish relative to the water when it hits the water.
An eagle is flying horizontally at 5.7 m/s with a fish in its claws. It accidentally...
An eagle is flying horizontally at 5.7 m/s with a fish in its claws. It accidentally drops the fish. (a) How much time passes before the fish's speed quadruples? (b) How much additional time would be required for the fish's speed to quadruple again?
x An eagle is flying horizontally at 5.3 m/s with a fish in its claws. It...
x An eagle is flying horizontally at 5.3 m/s with a fish in its claws. It accidentally drops the fish. (a) How much time passes before the fish's speed doubles? (b) How much additional time would be required for the speed to double again?
A plane flying horizontally at an altitude of 5 mi and a speed of 470 mi/h...
A plane flying horizontally at an altitude of 5 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 7 mi away from the station. For full credit I expect to see a well-labeled picture. Show all work. Round your final answer to the nearest whole number. Do not round intermediate values. Include units of measure in your answer.
A plane flying horizontally at an altitude of 2 mi and a speed of 510 mi/h...
A plane flying horizontally at an altitude of 2 mi and a speed of 510 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 3mi away from the station. (Round your answer to the nearest whole number.)
8. A Piper Cherokee is flying at 4000 ft standard altitude at 105 mph. The wing...
8. A Piper Cherokee is flying at 4000 ft standard altitude at 105 mph. The wing has a rectangular planform (shape) with a span of 30 ft and a chord of 5.33 ft. Assuming that the turbulent boundary layer grows as on a smooth plate and a completely turbulent boundary layer flow, determine: (a) The boundary layer thickness at the downstream edge of the wing. (b) The total skin friction drag coefficient of the wing. (c) The total skin friction...
An airplane flying in the air with a constant velocity of 240 m/s horizontally experiences a...
An airplane flying in the air with a constant velocity of 240 m/s horizontally experiences a force due to gravity, directed downwards with a magnitude of 4×10^6 N, and a force generated by the engines, directed forwards with a magnitude of 3 × 10^6 N. a. In light of Newton’s first law, why must there be a third force acting on the airplane? Calculate the magnitude of this third force, and explain its physical origin. Draw this third force on...
Consider and airplane flying at a pressure altitude of 40,000 feet and a density altitude of...
Consider and airplane flying at a pressure altitude of 40,000 feet and a density altitude of 30,000 feet. Calculate the outside air temperature.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT