The graph below represents the speed of a marble rolling down a straight incline as a function of time. Speed vs. Time
6.0
5.0
4.0
Speed (m/s)
3.0
2.0
1.0 -
0
0
1.0 2.0 3.0 4.0 5.0
Time (s)
Calculate the distance the marble travels during the first 3.0 seconds. [Show all work, including the equation and substitution with
units.)

Bone-strengthening physical activity done increases bone-mineral content and bone density in youth.

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?

The man of mass m1 and the woman of mass m2 are standing on opposite ends of the platform of mass m0 which moves with negligible friction and is initially at rest with s = 0. the man and woman begin to approach each other. derive an expression for the displacement s of the platform when the two meet in terms of the displacement x1 of the man relative to the platform.