Question

In: Physics

A rescue plane flies horizontally at a constant speed searching for a disabled boat. When the...

A rescue plane flies horizontally at a constant speed searching for a disabled boat. When the plane is directly above the boat, the boat's crew blows a loud horn. By the time the plane's sound detector receives the horn's sound, the plane has traveled a distance equal to one-third its altitude above the ocean. Assuming it takes the sound 2.02 s to reach the plane, and taking the speed of sound to be 343 m/s, determine the following.

(a) the speed of the plane
m/s

(b) the altitude of the plane
m

Solutions

Expert Solution

is the altitude of the plane.

is the distance traveled by plane after the horn is blown and it is received by the plane's detectors.

is the distance traveled by the soundwave.

=======

Given that by the time the plane's sound detector receives the horn's sound, the plane has traveled a distance equal to one-third its altitude above the ocean.

=========

Consider the soundwave

Speed = Distance/Time

==================

Consider the figure

Use Pythagoras' theorem

(b) ANSWER:

==========================

(a) Speed of the plane

Distance traveled by the plane,

Speed of the plane,

(a) ANSWER:

=====================================

genius_generous answered 1 week ago

Next > < Previous

Related Solutions

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?...

A crow is flying horizontally with a constant speed of 3.00 m/s when it releases a...

A crow is flying horizontally with a constant speed of 3.00 m/s when it releases a clam from its beak. The clam lands on the rocky beach 2.40s later. Consider the moment just before the clam lands. (Neglect air resistance.)

A bullet (m = 10 g) flies horizontally with an initial speed of v = 500...

A bullet (m = 10 g) flies horizontally with an initial speed of v = 500 m/s and then embeds itself in a block of wood (m = 400 g) that is at rest on a flat surface. The surface has a coefficient of kinetic friction μk = 0.4. After the impact, how far does the block of wood slide? (a) 40 m (b) 800 m (c) 8 m (d) 80 m (e) 20 m

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 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.)

A plane flies at 1.75 times the speed of sound. Its sonic boom reaches a man...

A plane flies at 1.75 times the speed of sound. Its sonic boom reaches a man on the ground 1.00 min after the plane passes directly overhead. What is the altitude of the plane? Assume the speed of sound to be 330 m/s.

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.

4. A small plane that travels with constant speed has a mass m = 1563 kg....

4. A small plane that travels with constant speed has a mass m = 1563 kg. This includes loading. The combined area of both wings is 16.3 m. Determine the speed of the wind by above the wing if the wind speed below the wing is 153 m / s. The air density is 3 1.29 kg / m

You drop a package from a plane flying at constant speed in a straight line. Without...

You drop a package from a plane flying at constant speed in a straight line. Without air resistance, the package will. (Hint: think about the velocity along the x direction, think about what type of motion you have along x direction). A) quickly lag behind the plane while falling. B) remain vertically under the plane while falling. C) move ahead of the plane while falling. D) not fall at all.

Subjects