2 At time t = 0, a 2150-kg rocket in outer space fires an engine that exerts an increasing force on it in the +x-direction. This force obeys the equation F, = At², where t is time, and has a magnitude of 781.25 N when t = 1.25 s. (a) Find the SI value of the constant A, including its units. (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 veloc- ity change during this interval?

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At time t = 0, a 2150-kg rocket in outer space fires
an engine that exerts an increasing force on it in the +x-direction.
This force obeys the equation F, = At², where t is time, and has a
magnitude of 781.25 N when t = 1.25 s. (a) Find the SI value of
the constant A, including its units. (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 veloc-
ity change during this interval?
Transcribed Image Text:At time t = 0, a 2150-kg rocket in outer space fires an engine that exerts an increasing force on it in the +x-direction. This force obeys the equation F, = At², where t is time, and has a magnitude of 781.25 N when t = 1.25 s. (a) Find the SI value of the constant A, including its units. (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 veloc- ity change during this interval?
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