A bubble at the bottom of lake rises to surface within 10.0 seconds with an acceleration of 10.0 meters per second. What is the
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Answer:
The distance traveled will be 156.0 m
Explanation:
Please, see the attached figure 1 for a description of the problem.
The distance traveled by the prey is the magnitude of the vector "r" (see figure).
If the components of "r" are "rx" (horizontal component) and "ry" (vertical component), its magnitude will be:
We already know the vertical component of r, ry, because the prey falls from an altitude of 156 m (see figure). Then ry = 156 m
To find the value of rx we will use the function that describes the trajectory of the prey (see figure 2):
y = -39 · x² + 156
When the prey hits the ground, the height is 0 (y = 0). rx will be the value of x for which y = 0.
0 = -39 · x² + 156
-156/-39 = x²
x = 2.0 m
Then r = (2.0 m, -156.0 m)
The distance traveled will be:
