HW6 Spider-Man goes to the top of a building 320 feet high to prevent Dr. Octopu

Question

HW6 Spider-Man goes to the top of a building 320 feet high to prevent Dr. Octopus from destroying the Earth. He knocks Dr. Octopus unconscious and throws him up in the air at 128 ft/sec. Show your work! 2. a) What is the position equation? b) What is the velocity equation? c) What is the acceleration equation? d) How long will it take for Dr. Octopus to reach his maximum height? e) What is the maximum height that Dr. Octopus reaches? When does Dr. Octopus hit the ground? g) With what velocity does Dr. Octopus hit the ground? PAGE 2 OF 2

Explanation / Answer

a. s(t)=-32t2+128t+320

b. Velocity, s'(t)= -64t+128 ft/sec

c. Acceleration, s "(t)= -64ft/sec2

d.s'(t)=-64t+128

s'(t)=0

t=2

e .s(2)=-32(2)2+128(2)+320=448ft

f. s(t)=0

-32t2+128t+320=0

t=5.7sec

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