An archer fires an arrow, which produces a muffled "thwok" sound after it hits a target. The archer hears the "thwok" exactly 2.6 s after firing the arrow and the average speed of the arrow is 36 m/s. Find the distance separating the archer and the target? Use 340 m/ s for the speed of sound.

Question

An archer fires an arrow, which produces a muffled "thwok" sound after it hits a target.  The archer hears the "thwok" exactly 2.6 s after firing the arrow and the average speed of the arrow is 36 m/s.  Find the distance sepa­rating the archer and the target? Use 340 m/ s for the speed of sound.

i cannot find a good explanation of how to go about this problem. i am at a total loss as to what to do.

Scott · Answer

time = distance / rate (d / 36) + (d / 340) = 2.6

An archer fires an arrow, which produces a muffled "thwok" sound after it hits a target. The archer hears the "thwok" exactly 2.6 s after firing the arrow and the average speed of the arrow is 36 m/s. Find the distance sepa­rating the archer and the target? Use 340 m/ s for the speed of sound.

An archer fires an arrow, which produces a muffled "thwok" sound after it hits a target. The archer hears the "thwok" exactly 2.6 s after firing the arrow and the average speed of the arrow is 36 m/s. Find the distance separating the archer and the target? Use 340 m/ s for the speed of sound.