Following figure is the speed-time graph for a rocket from the moment when the fuel starts to burn, i.e. at time $t=0$.

$(a)$ State the acceleration of the rocket at $t=0$.

$(b)$ State what happens to the acceleration of the rocket between $t=5 s$ and $t=60 s$.

$(c)$ Calculate the acceleration of rocket at $t=80 s$ Give reason for your answer.

$(d)$ The total mass of the rocket at $t=80\, s$ is $1.6 \times 10^{6}\, kg .$ Calculate the resultant force on the rocket at this time. Give reason for your answer.

1151-s145

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$(a)$ No net acceleration, balanced force between burning of fuel and gravitational acceleration.

$(b)$ Increases after $10$ sec, till $t=50$ s; zero acceleration after $50$ sec because it attains constant velocity.

$(c)$ Zero.

$(d)$ Zero as it is moving with constant velocity.

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