after the exam students climbed on the roof of the instructor\'s house and tosse

Question

after the exam students climbed on the roof of the instructor's house and tossed their notes straight up in the air following the function h(t)= 96+32t-16t^2 where the height is in feet and the time is expressed in seconds. a) find the maximum height of the notes (this is when the velocity is zero) b) when will the notes hit the ground? (this is when the height is zero) c) at what speed will the notes hit the ground? (the speed is abolute value of the velocity) d) sketch a graph of the height and velocity function. make sure to include the highest point and the point when the notes hit the ground.

Explanation / Answer

(A) for max height is obtained when dh/dt=0 so t=1s and max height=112feet

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