Question
Integrated Concepts A large rocket has a mass of $2.00 \times 10^6 \textrm{ kg}$ at takeoff, and its engines produce a thrust of $3.50 \times 10^7 \textrm{ N}$. (a) Find its initial acceleration if it takes off vertically. (b) How long does it take to reach a velocity of 120 km/h straight up, assuming constant mass and thrust? (c) 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.

a) $7.70 \textrm{ m/s}^2$

b) $4.33 \textrm{ s}$

c) Acceleration increases as mass decreases. It will take less time to reach 120 km/h than calculated in part (b).

Solution Video