You peer around a corner. A velocity raptor 64 meters away spots you. You run away at a speed of 6 meters per second. The raptor chases, running towards the corner you just left at a speed of...

You peer around a corner. A velocity raptor 64 meters away spots you. You run away at a

speed of 6 meters per second. The raptor chases, running towards the corner you just left

at a speed of {\displaystyle 4t}4t meters per second (time {\displaystyle t}t measured in

seconds after spotting). After you have run 4 seconds the raptor is 32 meters from the

corner. At this time, how fast is death approaching your soon to be mangled flesh? That

is, what is the rate of change in the distance between you and the raptor?

Aug 28, 2022

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