A rocket is fired vertically from the ground with a resultant vertical acceleration of 10 m per second square the fuel is finished in 1 minutes and it continues to move up . what is the maximum height reached.
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The distance travelled by the rocket in 1 minute (60 s) with a=10m/s2a=10m/s2 upward is
h1=12h1=12×10×602×10×602
=18000m=18000m
=18km=18km
Velocity acquired =>
v=10×60v=10×60
=600m/s=600m/s
after 1 minute the rocket moves upward with velocity 600m/s600m/s and down ward.
acceleration due to gravity till its velocity becomes zero
0=(600)2−2gh20=(600)2−2gh2
=(600)2−2×10×h2=(600)2−2×10×h2
=>h2=18000m=>h2=18000m
=>18km=>18km
Total distance 18+18=36km
h1=12h1=12×10×602×10×602
=18000m=18000m
=18km=18km
Velocity acquired =>
v=10×60v=10×60
=600m/s=600m/s
after 1 minute the rocket moves upward with velocity 600m/s600m/s and down ward.
acceleration due to gravity till its velocity becomes zero
0=(600)2−2gh20=(600)2−2gh2
=(600)2−2×10×h2=(600)2−2×10×h2
=>h2=18000m=>h2=18000m
=>18km=>18km
Total distance 18+18=36km
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