If a rocket with a mass of #900 kg# vertically accelerates at a rate of # 2 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 4 seconds?

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Answer 1 · 2016-10-29T04:35:04

Given
#M->"Mass of rocket"=900kg#
#a->"Acceleration"=2m/s^2#

#g->"Acceleration due to gravity"=9.8m/s^2#

#"Velocity after t sec "(v)=at#

#"Force applied"(F)=M(g+a)#

#"Power at t s"#

#P(t)=Fxxv=M(g+a)at#

Power #"at "t=4 s#

#P(4)=900xx(9.8+2)xx2xx4W#

#= 84.960kW"#