Question

A 12,400-kg airplane launched by a catapult from an aircraft carrier is accelerated from 0 to 210km/h in 4 s. How many times the acceleration due to gravity is the airplane's acceleration?

Answer 1

A 12,400-kg airplane launched by a catapult from an aircraft carrier is accelerated from 0 to $210\mathrm{km/h}$ in 4 s. How many times the acceleration due to gravity is the airplane's acceleration?

Answer:

$$\begin{array}{l} v = 210\mathrm{km/h} = 58.33\mathrm{m/s} \\ v_0 = 0\mathrm{m/s} \\ t = 4\mathrm{s} \\ g = 9.8 \frac{\mathrm{m}}{\mathrm{s}} \\ v - v_0 = at \\ a = \frac{(v - v_0)}{t} = 14.58 \frac{\mathrm{m}}{\mathrm{s}^2} \\ a = 1.49g \\ \end{array}$$