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 perceives the horn's sound, the plane has traveled a distance equal to three-fourths its altitude above the ocean.
(a) If it takes the sound 2.00 s to reach the plane, determine
the speed of the plane. Take the speed of sound to be 343
m/s.
m/s
(b) What is its altitude?
m
Suppose, 'd' is the distance covered by the sound.
Vs = speed of sound = 343 m/s
t = time taken by sound to reach the plane = 2 s (given)
Therefore,
d = Vs*t = 343*2 = 686 m
Suppose, h = altitude of the plane.
Therefore, we have -
d = 686 = √[h^2+((3/4)h)^2] = √[h^2 + 0.5625*h^2] = 1.25*h
=> h = 686 / 1.25 = 548.8 m (Answer of part (b))
(a) Now,
Horizontal distance covered by the plane,
x = (3/4) h = 0.75 * 548.8 = 411.6 m
Time taken by the plane to cover this distance = 2 s.
Therefore, speed of the plane = x / 2 = 411.6 / 2 = 205.8 m/s (Answer)
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 perceives the horn's sound, the plane has traveled a distance equal to three-fourths its altitude above the ocean. (a) If it takes the sound 2.04 s to reach the plane, determine the speed of the plane. Take the speed of sound to be 343...
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 perceives the horn's sound, the plane has traveled a distance equal to two-thirds its altitude above the ocean. (a) If it takes the sound 2.10 s to reach the plane, determine the speed of the plane. Take the speed of sound to be 343...
A rescue pler e les horizontully ut a oonstant speed searching or 비 disabled boat when he plane ıs directly ebove the boat, the bout's crew blows a oud horn. By the time the plene's sound detector receives the horn's sound, he plane has traveled equal to one-third its altitude above the ocean. Assuming it takes the sound 2.10 s to reach the plane, and taking the speed of sound to be 343 m's, determine the following. distance (a) the...
8. A boat is heading due north as it crosses a wide river with a speed of 10.0 km/h relative to the water. The river has a current such that the water moves with a uniform speed 5.00 km/h due east. Determine the magnitude and direction of the boat's velocity with respect to an observer on the riverbank (5 points) A plane maintains a speed of 630 km/h relative to the air it is flying through, as it makes a...