Problema Solution

if a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation h(t)= -16t[square] +128t (if air resistence is neglected). How long will it take for the rocket to return to the ground? After how many seconds will the rocket be 112 feet above the ground? how long will it take the rocket to hit its maximum height? What is the maximum height?

Answer provided by our tutors

maximum height can be calculated following

32t + 128 =0

t=4seconds to reach max. height

h=16*16+128*4=768 feet

time to reach ground

t=4+(32*16)/2=260 seconds

 

656=1/2(32*t*t)

t=10 seconds