An air force jet flying with a
speed of 335ms-1 went past an
anti-aircraft gull. How far is the
aircraft Ss later when the gun was
fired?
A. 8.38m
B. 3.350m
C. 670m
D. 1675m
E. 67m
To solve this problem, we need to know the time it takes for the sound of the gun to reach the aircraft after the gun was fired.
The speed of sound in air is approximately 343 meters per second.
Let's calculate the time it takes for the sound to reach the aircraft. We can use the formula:
time = distance / speed
The distance traveled by the sound is the same as the distance traveled by the aircraft after the gun was fired.
The speed of sound is 343 m/s.
time = distance / speed
time = Ss / 343
Given that the aircraft is moving with a speed of 335 m/s, the time it takes for the sound to reach the aircraft is also the time it takes for the aircraft to travel the same distance.
So, we have:
time = Ss / 343
time = Ss / 335
Since the speed is constant, the time it takes for the sound to reach the aircraft is the same as the time it takes for the aircraft to travel the distance Ss.
Therefore, Ss = (335 m/s) * (Ss / 343)
Now, we can solve for Ss:
343 * Ss = 335 * Ss
343 = 335
Ss = 335 * 343 / 335
Ss = 343
Therefore, the aircraft is 343 meters away when the gun was fired.
The correct answer is not listed among the given options.
To find the distance the aircraft traveled when the gun was fired, we need to multiply its speed by the time it took for the gun to be fired. Since we are given the speed of the aircraft as 335 m/s, we need to determine the time it took for the gun to be fired.
From the information given, we do not have any information regarding the time the gun was fired after the aircraft passed the anti-aircraft gull. Therefore, we cannot calculate the exact distance.
Hence, the answer cannot be determined from the given information.