Aboat with a mass of 1000 kg drifts with the current down a straight section of river parallel to the +x+x axis with a speed of 2.0 m/s. at t=0t=0 the boat engages its engines, and accelerates at 2.7 \,\mathrm{m/s^2}2.7m/s2. if the boat is oriented with its nose 45^\circ45∘ from the +x+x axis, which of the following is a possible value for the boat's momentum at t = 3.0\, \mathrm{s}t=3.0s after the engine had started?

pick the correct answer

a. \vec{p} = (7700 \hat{i} + 5700 \hat{j}) \; \mathrm{kg \, m/s}p=(7700i^+5700j^)kgm/s
b. \vec{p} = (9500 \hat{i} - 1400 \hat{j}) \; \mathrm{kg \, m/s}p=(9500i^−1400j^)kgm/s
c. \vec{p} = (5700 \hat{i} + 9500 \hat{j}) \; \mathrm{kg \, m/s}p=(5700i^+9500j^)kgm/s
d. \vec{p} = ( 1400 \hat{i} - 7700 \hat{j}) \; \mathrm{kg \, m/s}p=(1400i^−7700j^)kgm/s
e. none of these are correct