Answer: C. F is along Δp = m(v_f − v_i). Take east as +x, north as +y. v_i = 5x̂, v_f = 5ŷ. Δv = 5ŷ − 5x̂ = (−5x̂ + 5ŷ). This vector points into the second quadrant: equal parts west and north, i.e. exactly north-west at 45° from both axes (NCERT Class 11 Physics Chapter 4, page 54; trap: confusing force direction with final velocity direction).
Why A is wrong: A is wrong because the force is NOT in the direction of final motion. Force is along Δp = p_f − p_i, not along p_f. The initial eastward momentum must be subtracted, giving a westward component as well (trap: picking direction of motion as force direction).
Why B is wrong: B is wrong because the force is not along the initial velocity. The body's direction changed — the force must have a component perpendicular to the original motion.
Why D is wrong: D is wrong because south-east is the direction of v_i − v_f, the reverse of the momentum change. Force is along Δp = p_f − p_i, so the subtraction must run from initial to final (trap: taking the momenta in the wrong order).