An archer fires an arrow, which produces a muffled "thwok" sound after it hits a target. If the archer hears the "thwok" exactly 1.2 s after firing the arrow and the average speed of the arrow was 48 m/s, what was 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. If the archer hears the "thwok" exactly 1.2 s after firing the arrow and the average speed of the arrow was 48 m/s, what was the distance separating the archer and the target? Use 340 m/ s for the speed of sound.

Answer 1

I posted this question, can someone tell me how to do it?

Answer 2

To find the distance separating the archer and the target, we can use the formula:

Distance = Speed × Time

First, let's find the time it took for the sound to reach the archer:

Time_sound = Distance_sound / Speed_sound

Given that the speed of sound is 340 m/s and the archer hears the "thwok" 1.2 s after firing the arrow, we can calculate the distance the sound traveled:

Distance_sound = Speed_sound × Time_sound

Distance_sound = 340 m/s × 1.2 s

Distance_sound = 408 m

Since the sound is produced at the same location as the target, the distance traveled by sound is the same as the distance between the archer and the target.

Now, let's find the time it took for the arrow to reach the target:

Time_arrow = Distance_arrow / Speed_arrow

Given that the average speed of the arrow is 48 m/s, we can calculate the distance the arrow traveled:

Distance_arrow = Speed_arrow × Time_arrow

Distance_arrow = 48 m/s × 1.2 s

Distance_arrow = 57.6 m

Therefore, the distance separating the archer and the target is 57.6 m.

Answer 3

To find the distance separating the archer and the target, you can use the formula:

distance = speed × time

In this case, the speed of sound is 340 m/s and the time it took for the sound to reach the archer's ears after firing the arrow is 1.2 seconds.

First, let's find the distance traveled by the sound:

distance_sound = speed_sound × time

distance_sound = 340 m/s × 1.2 s

distance_sound = 408 m

Now, we need to find the distance traveled by the arrow. Since the average speed of the arrow is given as 48 m/s and it took 1.2 seconds for the sound to reach the archer, we can use the same formula:

distance_arrow = speed_arrow × time

distance_arrow = 48 m/s × 1.2 s

distance_arrow = 57.6 m

Finally, the total distance separating the archer and the target can be found by adding the distance traveled by the sound and the distance traveled by the arrow:

distance_total = distance_arrow + distance_sound

distance_total = 57.6 m + 408 m

distance_total = 465.6 m

Therefore, the distance separating the archer and the target is approximately 465.6 meters.

Answer 4

time outbound = d/48

time back = d/340
so
d/48 + d/340 = 1.2

(.0208333 + .00294)d = 1.2

d = 50.5 meters