A bee flies to a flower 549 m due south of its hive. The bee’s speed in still air is 0.58 m/s, and there is a wind blowing toward the south at 0.18 m/s. How long will it take the bee to travel to the flower and back to the hive?
Answer in units of s
T1 = d/V1 = 549/(0.58+0.18) = 722.4 s.
= Time to travel to the flower.
T2 = d/V2 = 549/(0.58-0.18) = 1372.5 s.
= Time to travel back to hive.
T = = T1 + T2 = 722.4 + 1372.5 = 2095 s.
To travel to the flower and back to the hive.
To solve this problem, we need to consider the bee's speed in still air, the speed of the wind, and the distance between the hive and the flower.
Let's first calculate the time it takes for the bee to travel from the hive to the flower:
The bee's speed in still air is 0.58 m/s, and the wind is blowing at a speed of 0.18 m/s towards the south. Since the bee is flying towards the south, we need to subtract the speed of the wind from its speed in still air:
Effective speed of the bee = Bee's speed in still air - Speed of the wind
Effective speed of the bee = 0.58 m/s - 0.18 m/s
Effective speed of the bee = 0.40 m/s
Now that we have the effective speed, we can use the formula:
Time = Distance / Speed
Distance to the flower = 549 m
Time = 549 m / 0.40 m/s
Time = 1372.5 s
So, it will take the bee approximately 1372.5 seconds to travel from the hive to the flower.
Now, to calculate the time it takes for the bee to travel back to the hive, we can use the same formula:
Distance from the flower to the hive is also 549 m, and the effective speed of the bee remains the same at 0.40 m/s.
Time = 549 m / 0.40 m/s
Time = 1372.5 s
Therefore, it will also take the bee approximately 1372.5 seconds to travel back from the flower to the hive.
To find the total time for the round trip, we add the time it takes to go to the flower and come back:
Total time = Time to flower + Time back to hive
Total time = 1372.5 s + 1372.5 s
Total time = 2745 s
Hence, it will take the bee approximately 2745 seconds to travel to the flower and back to the hive.