Posted by gladys on Sunday, April 28, 2013 at 10:40am.
a rocket is fire vertically and ascends with constant vertical axceleration of 20 m/s^2 for 1min. its fuel is then all used and it continues to move as a free falling bodyn neglexting rhe variation of g altitude, compute a) the max altitude reached by the rocket and b) the total elapsed time from take off until the rocket touchea the ground

physics  Henry, Monday, April 29, 2013 at 5:49pm
ho = 0.5*a*t^2 = 0.5*20*60^2 = 36,000 m.
Vo = a*t = 20*60 1200 m/s.
a. h. = ho + (V^2Vo^2)2g
h=36000 + (0(1200)^2)/19.6=109,469 m.
b. V = Vo + g*t
Tr = To + (VVo)/g=60 + (01200)/9.8 =
182.4 s.
h = Vo*t + 0.5g*t^2 = 109,469 m.
0 + 4.9t^2 = 109469
t^2 = 22,341 s
Tf = 150 s. = Fall time.
T = Tr + Tf = 182.4 + 150 = 332 s. =
5.53 min = Time in flight.
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