Alarge rocket has a mass of 2.00×10⁶ kg at takeoff, and its engines produce a thrust of 3.50×10⁷ n. find its initial acceleration if it takes off vertically. how long does it take to reach a velocity of 120 km/h straight up, assuming constant mass and thrust? in reality, the mass of a rocket decreases significantly as its fuel is consumed. describe qualitatively how this affects the acceleration and time for this motion.

17.5 m/s²

1.90476 seconds

Explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration

Force

Initial acceleration of the rocket is 17.5 m/s²

Time taken by the rocket to reach 120 km/h is 1.90476 seconds

Change in the velocity of a rocket is given by the Tsiolkovsky rocket equation

where,

= Initial mass of rocket with fuel

= Final mass of rocket without fuel

= Exhaust gas velocity

Hence, the change in velocity increases as the mass decreases which changes the acceleration

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