CALC? 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 Fx = 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 velocity change during this interval? Assume constant mass.

Solution 11E Step 1: Data given Mass m = 2150 kg t1= 0 s Force exerted F = 781.25 N t2= 1.25 s Condition given Fx = At 2 We need to find the SI unit for A Consider Fx = At 2 Substituting values we get 781.25 N x = A × (1.25 s) 2 Hence we 2 A = (781.25 N )/(1.25 s) 2 A = 500 N/s