d. Calculate the maximum distance a vole can wander from its hole and still remain safe from hawks flying at a height of 150m. (Assume that the vole can accelerate to top speed instantaneously.)

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A hawk is flying 150m above the ground when it spots a vole. The hawk goes into a dive by
tucking its wings and essentially just falling. Voles can run with a speed of about 2m
a. Determine the acceleration of the hawk as it is diving. (Treat the hawk as an object in
free fall.)
b. Calculate the speed of the hawk as it reaches the ground. (Ignore the hawk's initial
horizontal speed, and the fact that the hawk must slow down in order not to crash into the
ground.)
c. The vole sees the hawk go into the dive. Calculate how much time the vole has to
escape. (How long does it take the hawk to drop 150m?)
d. Calculate the maximum distance a vole can wander from its hole and still remain safe
from hawks flying at a height of 150m. (Assume that the vole can accelerate to top speed
instantaneously.)
e. Separately and carefully plot the position, velocity, and acceleration versus time of the
hawk and the vole on separate axes. Set the origin to be at the hole of the vole. Assume
that the vole starts at the maximum distance found in step d, and that the hawk begins it's
dive at t = 0. Label your axes.
Transcribed Image Text:A hawk is flying 150m above the ground when it spots a vole. The hawk goes into a dive by tucking its wings and essentially just falling. Voles can run with a speed of about 2m a. Determine the acceleration of the hawk as it is diving. (Treat the hawk as an object in free fall.) b. Calculate the speed of the hawk as it reaches the ground. (Ignore the hawk's initial horizontal speed, and the fact that the hawk must slow down in order not to crash into the ground.) c. The vole sees the hawk go into the dive. Calculate how much time the vole has to escape. (How long does it take the hawk to drop 150m?) d. Calculate the maximum distance a vole can wander from its hole and still remain safe from hawks flying at a height of 150m. (Assume that the vole can accelerate to top speed instantaneously.) e. Separately and carefully plot the position, velocity, and acceleration versus time of the hawk and the vole on separate axes. Set the origin to be at the hole of the vole. Assume that the vole starts at the maximum distance found in step d, and that the hawk begins it's dive at t = 0. Label your axes.
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