A constant speed motion is one in which equal distances are covered in equal times
The bird travels a cumulative distance of 7. km
The reason the above value is correct is as follows:
The known parameters are;
Speed of the runner, = 2.1 km/hr
The location where the bird begins to fly to the finish line = When the runner is 4.4 km from the finish line
The speed of the bird, = 10.5 km/hr = 5 times the runners speed
The bird reaches the finish line, turns, and returns back to the runner
Required:
The find cumulative distance traveled by the bird
Solution:
The distance the bird travels is five times the distance the runner travels, therefore,
Let <em>x</em> represent the distance the runner ravels before the bird returns, we have;
The distance the bird travels = 4.4 + 4.4 - x = 8.8 - x
The distance the runner travels = x
The time the runner runs <em>x</em> km = The time the bird flies (8.8 - 4) km
, we have;
Given the time taken by the runner is equal to the time taken by bird, while running, we have;
Therefore;
10.5·x = 2.1·(8.8 - x) = 2.1×8.8 - 2.1·x
10.5·x + 2.1·x = 2.1×8.8 = 18.84
12.6·x = 18.84
<u>The cumulative distance the bird travels is 7.</u><u> km</u>
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