bugs bunny has been captured by Yosemite Sam and forced to \"walk the plank\". I

Question

bugs bunny has been captured by Yosemite Sam and forced to "walk the plank". Instead of waiting for Yosemite Sam to finish cutting the board from underneath him, Bugs finally decides just to jump. Bugs' position, s, is given by s(t)= -16t^2 +16t + 180 where s is measured in feet and t is measured in seconds.

a) When will Bugs hit the ground?

b) What is Bugs' velocity at impact (What are the units of this value?)

c) What is Bugs' speed at impact?

d) Find Bugs' acceleration as a function of time. (What are the units of this value?)

Explanation / Answer

s(t)= -16t2+16t+180

a. s(t)=0

-16t2+16t+180=0

t= 3.9 sec

b. velocity, s '(t)= -32t+16

at t=3.9, s'(t)= -32(3.9)+16=-108.8feet/s

c. speed = | s'(t) | = 108.8feet/sec

d. Acceleration , s''(t)= -32ft/sec2

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