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

1 answer

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.