# Problem: At time t = 0 a 2270-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 exttip{t}{t}= 1.31  s.(a) Find the SI value of the constant A.(b) What impulse does the engine exert on the rocket during the 1.50-s interval starting 2.00 s after the engine is fired?(c) By how much does the rocket’s velocity change during this interval? Assume constant mass.

93% (72 ratings)
###### Problem Details

At time t = 0 a 2270-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 = 1.31  s.
(a) Find the SI value of the constant A.
(b) What impulse does the engine exert on the rocket during the 1.50-s interval starting 2.00 s after the engine is fired?
(c) By how much does the rocket’s velocity change during this interval? Assume constant mass.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the !! Calculating Impulse via Integration concept. You can view video lessons to learn !! Calculating Impulse via Integration. Or if you need more !! Calculating Impulse via Integration practice, you can also practice !! Calculating Impulse via Integration practice problems.

How long does this problem take to solve?

Our expert Physics tutor, Julia took 5 minutes and 8 seconds to solve this problem. You can follow their steps in the video explanation above.