Answer:
Let's break down the problem step by step:
1. The speed of sound is 340 m/s.
2. Bob blows a whistle every 5 seconds.
3. The cat is initially running away from Bob at 1 m/s.
Now, when Bob blows the whistle, the sound travels to the cat. During this time, the cat continues to run away from Bob.
1. In 5 seconds, the sound travels a distance of (speed of sound) x (time) = 340 m/s x 5 s = 1700 meters.
2. During the 5 seconds it took for the sound to reach the cat, the cat moves 1 m/s x 5 s = 5 meters away from Bob.
3. When the cat hears the whistle, it doubles its velocity. So, its new velocity is 2 x 1 m/s = 2 m/s.
Now, there are two possible scenarios, as the cat will double its velocity every time it hears the whistle:
Scenario 1:
- After the first whistle, the cat's velocity is 2 m/s.
- After the second whistle (5 seconds later), the cat's velocity is doubled again, so it's now 4 m/s.
- After the third whistle, the cat's velocity is doubled again to 8 m/s.
Scenario 2:
- After the first whistle, the cat's velocity is 2 m/s.
- After the second whistle (5 seconds later), the cat's velocity is doubled again, so it's now 4 m/s.
- After the third whistle, the cat's velocity is doubled again to 8 m/s.
So, in both scenarios, the final velocity of the cat is 8 m/s.
Therefore, there are two correct answers: The final velocity of the cat is either 8 m/s (Scenario 1) or 8 m/s (Scenario 2).
Step-by-step explanation:
In both scenarios, after the third whistle, the cat's velocity doubles to 8 m/s. So, the final velocity of the cat is 8 m/s in both cases.