Question

The position vector of a particle is given by r⃗ =3tî-2t²ĵ+ 4k̂ m where t is in seconds and the coefficients have the proper units for r⃗ to be in metres. (a) Find the v⃗ and a⃗ of the particle? (b) What is the magnitude and direction of velocity of the particle at t = 2.0 s ?

Figure shows (x, t), (y, t) diagram of a particle moving in 2-dimensions. If the particle has a mass of 500 g, find the force (direction and magnitude) acting on the particle.