The position vector of a particle is given by r⃗ = √3t²î + √2tĵ + √5k̂. Which one of the following statements is correct?

The velocity is v⃗ = dr⃗/dt = 2√3t î + √2 ĵ + 0 k̂. The momentum is parallel to velocity. The acceleration is a⃗ = dv⃗/dt = 2√3 î + 0 ĵ + 0 k̂, which is constant in the î direction. The force F⃗ = ma⃗ is along î. The momentum vector has components in both î and ĵ directions (2√3t î + √2 ĵ), while the force is purely along î. Therefore, the force is not parallel to the instantaneous momentum (they are not in the same direction). Force and momentum are also not perpendicular since they share the î component. Therefore, option (d) is correct.