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Bugs Bunny travels from his rabbit hole for 25 minutes to the farmer's field 3.5 km east of his hole. However, when he arrived there is the farmer waiting with a gun, so Bugs scoots back towards his hole and hides under a bush that is 1.5 km east of his hole. His dash took 5.0 minutes. Determine Bugs' average speed and determine Bugs' average velocity.

A) Average speed = 10 km/h; Average velocity = 2 km/h.
B) Average speed = 20 km/h; Average velocity = 0 km/h.
C) Average speed = 30 km/h; Average velocity = 5 km/h.
D) Average speed = 15 km/h; Average velocity = 3 km/h.

User Ian Oswald
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1 Answer

6 votes

Final answer:

Bugs Bunny's correct average speed is 11 km/h, and his correct average velocity is 4 km/h east, neither of which match the provided options. These quantities are calculated from the total distance traveled, the displacement, and the total time taken.

Step-by-step explanation:

To answer the student’s question about Bugs Bunny’s average speed and average velocity, we first need to calculate the total distance traveled and the displacement, as well as the total time taken for both legs of the journey.

Total distance traveled: 3.5 km to the field + 2.0 km back towards the hole = 5.5 km.

Total time: 25 minutes to the field + 5 minutes back = 30 minutes or 0.5 hours.

Average speed is calculated by dividing the total distance by the total time.

Average speed = Total distance ∕ Total time = 5.5 km ∕ 0.5 h = 11 km/h.

To determine the average velocity, we need the total displacement and the total time. Displacement is the change in position: 3.5 km to the field - 1.5 km to the bush = 2.0 km east of the hole.

Average velocity = Displacement ∕ Total time = 2.0 km east ∕ 0.5 h = 4 km/h east.

Therefore, the correct answer is that Bugs Bunny's average speed is 11 km/h, and his average velocity is 4 km/h to the east, which is not represented by any of the options given (A, B, C, D).

User Keston
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7.7k points