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8 May, 15:30

A finch rides on the back of a Galapagos tortoise, which walks at the stately pace of 0.060 m/s. After 1.1 minutes, the finch tires of the tortoise's slow pace, and takes flight in the same direction for another 1.5 minutes at 11 m/s. Part A What was the average speed of the finch for this 2.6-minute interval

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  1. 8 May, 15:46
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    Average Speed = 6.37 m/s

    Explanation:

    The average speed is simply given by the following formula:

    Average Speed = Total Distance Traveled/Total Time Spent

    here,

    Total Time Spent = 1.1 min + 1.5 min = (2.6 min) (60 s/min) = 156 s

    Now, for total distance, we have to calculate the distance traveled on tortoise and distance traveled while flying, separately. Therefore,

    Distance Traveled on Tortoise = (Time spent on Tortoise) (Speed of Tortoise)

    Distance Traveled on Tortoise = (1.1 min) (60 s/min) (0.06 m/s) = 3.96 m

    Similarly,

    Flying Distance = (Flying Time) (Flying Speed) = (1.5 min) (60 s/min) (11 m/s)

    Flying Distance = 990 m

    Since, total distance is the sum of both distances, therefore,

    Total Distance = 3.96 m + 990 m = 993.96 m

    Now, using the values in equation of average speed, we get:

    Average Speed = 993.96 m/156 s

    Average Speed = 6.37 m/s
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