"At time t = 0 a 2330-kg rocket in outer space fires an engine that exerts" an increasing force on it in the +x-direction. This force obeys the equation Fx=At2, where t is time, and has a magnitude of 781.25 N when t = 1.27 s .

What impulse does the engine exert on the rocket during the 1.50- s interval starting 2.00 s after the engine is fired?

Explanation:

First, it is required to model the function that models the increasing force in the +x direction:

The equation is:

The impulse done by the engine is given by the following integral:

its a 5.5 n

glad that

we're given that v₀ = 0 and a = 5.4 m/s². therefore, since v = at + v₀ for constant acceleration the equation for velocity is

after 28s,

m/s

which i would round to 150 m/s as my final answer