Answer:
s = 42 meters
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 :
[tex]a=\dfrac{v-u}{t}[/tex]
[tex]a=\dfrac{42\ m/s}{2\ s}[/tex]
[tex]a=21\ m/s^2[/tex]
It is assumed that the acceleration of the jet is constant. We can find the length of the catapult. It is given by s.
[tex]s=ut+\dfrac{1}{2}at^2[/tex]
[tex]s=\dfrac{1}{2}\times 21\times (2)^2[/tex]
s = 42 meters
So, the length of the catapult is 42 meters. Hence, this is the required solution.