A rocket is launched from the earth surface so that it has an acceleration of 19.6m/s square.if it's engine is switched off after 5 seconds of its launch,then the maximum height attained by the rocket will be...
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AbhishGS:
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Answered by
13
accln= 19.6 m/s time t =5sec
Hmax = u square /2g
for initial velocity.
a=u/t i.e. 19.6=u/5
:. u=19.6×5=98m/s
:. Hmax=98 square/2(10)
9604/20=480.2m
Hmax = u square /2g
for initial velocity.
a=u/t i.e. 19.6=u/5
:. u=19.6×5=98m/s
:. Hmax=98 square/2(10)
9604/20=480.2m
Answered by
21
Initially
a1= 19.6
t1 = 5sec
u1= 0
v1 = u1 + a1t1
v1= 19.6*5 = 98
S1 = ut + at^2/2
S1 = 19.6*25/2
Now after the engine stops
a = g= -9.8
u = v1=98
v = 0 after this point rocket will start falling
v = u + at
t = -98/-9.8 = 10sec
S2 = ut + at^2/2
S2 = 98*10 - 9.8*100/2
S2 = 980 - 9.8*50
S2 = 980 - 19.6*25
now
max height = total distance travelled
= S1 + S2
max height = 980 m
a1= 19.6
t1 = 5sec
u1= 0
v1 = u1 + a1t1
v1= 19.6*5 = 98
S1 = ut + at^2/2
S1 = 19.6*25/2
Now after the engine stops
a = g= -9.8
u = v1=98
v = 0 after this point rocket will start falling
v = u + at
t = -98/-9.8 = 10sec
S2 = ut + at^2/2
S2 = 98*10 - 9.8*100/2
S2 = 980 - 9.8*50
S2 = 980 - 19.6*25
now
max height = total distance travelled
= S1 + S2
max height = 980 m
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