The position of a particle moving in an xy plane is given by with in meters and t in seconds. in unit-vector notation, calculate (a), (b), and (c) for t = 2.00 s. (d) what is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 2.00 s? give your answer in the range of (-180o; 180o).

The intensity of a polarized electromagnetic wave is 12 w/m^2. part a) what will be the intensity after passing through a polarizing filter whose axis makes the angle θ=0∘ with the plane of polarization? part b) what will be the intensity after passing through a polarizing filter whose axis makes the angle θ=30∘ with the plane of polarization? part c) what will be the intensity after passing through a polarizing filter whose axis makes the angle θ=45∘ with the plane of polarization? part d) what will be the intensity after passing through a polarizing filter whose axis makes the angle θ=60∘ with the plane of polarization? part e) what will be the intensity after passing through a polarizing filter whose axis makes the angle θ=90∘ with the plane of polarization?