Answer:
s = 42 meters
Step-by-step explanation:
Initial speed of the jet, u = 0
Final speed of the jet, v = 42 m/s
Time taken, t = 2 s
Let a is the acceleration of the jet. It can be calculated using equation of kinematics as :
![a=(v-u)/(t)](https://img.qammunity.org/2020/formulas/physics/high-school/ge7n7qpiqku41bi8upy0o4u7eeuffs8qzm.png)
![a=21\ m/s^2](https://img.qammunity.org/2020/formulas/physics/college/s9c389p5l3dahgf2t6r8zy2ekblw67h4ax.png)
It is assumed that the acceleration of the jet is constant. We can find the length of the catapult. It is given by s.
![s=ut+(1)/(2)at^2](https://img.qammunity.org/2020/formulas/physics/middle-school/z381q7xga85qdtp5e9fiz6dr16bacc3cy2.png)
s = 42 meters
So, the length of the catapult is 42 meters. Hence, this is the required solution.