A HUNTER FIRES A GUN AT A POINT 408 M AWAY FROM A CLIFF AND IF HE HEARS AN ECHO 2.4 S LATER, DETERMINE THE SPEED OF THE SOUND WAVE

To determine the speed of the sound wave, we can use the equation:

Distance = Speed × Time

Given that the hunter hears an echo 2.4 seconds later, we can assume that the sound traveled to the cliff and back. Therefore, the total distance traveled by the sound is twice the distance between the hunter and the cliff, which is 408 m.

Using the equation above, we can rewrite it as:

2 × Distance = Speed × Time

Substituting in the known values:

2 × 408 m = Speed × 2.4 s

Simplifying:

816 m = Speed × 2.4 s

Dividing both sides by 2.4 s:

Speed = 816 m / 2.4 s ≈ 340 m/s

Therefore, the speed of the sound wave is approximately 340 m/s.