In THREE points, relate the equation of continuity with the propulsion of a rocket.

Consider a rocket which has a mass of 2.10 x 106 kg at takeoff, and its engines produce a constant thrust of 3.1 x 107 N as it takes off vertically. Choose the best response for the three quantities below:a) the initial acceleration of the rocket;b) the time needed for the rocket to reach a speed of 50 m/s, assuming constant mass and thrust; andc) description of the actual acceleration and time needed to reach 50 m/s factoring in that as the rocket ascends, fuel is expelled and thus the mass decreases significantly.Group of answer choicesa) 𝑎𝑜=4.96𝑚/𝑠2b) 𝑡=10.1𝑠c) Assuming the rocket can produce a constant thrust force, F0, the gravitational force acting downward on the rocket will not change, so the net force acting on the rocket will be constant. So, the acceleration will remain constant as the rocket burns fuel and the time it would take to reach 50 m/s will still be about 10.1 seconds.a) 𝑎𝑜=4.96𝑚/𝑠2b) 𝑡=10.1𝑠c) Assuming the rocket can produce a constant thrust force, F0, the gravitational force acting downward on the rocket will become lessened due to the loss of mass and so the net force acting upward will become larger. So, the acceleration will will increase as the rocket burns fuel and the time it would take to reach 50 m/s will be less than 10.1 secondsa) 𝑎𝑜=14.8𝑚/𝑠2b) 𝑡=3.38𝑠c) Assuming the rocket can produce a constant thrust force, F0, the gravitational force acting downward on the rocket will not change, so the net force acting on the rocket will be constant. So, the acceleration will remain constant as the rocket burns fuel and the time it would take to reach 50 m/s will still be about 3.38 secondsa) 𝑎𝑜=14.8𝑚/𝑠2b) 𝑡=3.38𝑠c) Assuming the rocket can produce a constant thrust force, F0, the gravitational force acting downward on the rocket will become lessened due to the loss of mass and so the net force acting upward will become larger. So, the acceleration will will increase as the rocket burns fuel and the time it would take to reach 50 m/s will be less than 3.38 seconds

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A projectile is projected horizontally with a velocity u.Show that its trajectory is parabolic.Obtain expression for time of flight and horizontal range.