ONLINE: MATHEMATICS EXTENSION 2 EXERCISE p6502 Consider an object of mass falling due to gravity. The object was released with an m initially velocity The resistive force due to the medium the object falls through is of v0. the form and directed in the opposite direction to the motion. Derive the following results Comment on the acceleration velocity and displacement as ? a, v x Sketch graphs for acceleration velocity and displacement time graphs for a, v x > = 0 and < where is the initial velocity. v0 vT v0 v0 vT v0 Solution The forces acting on the object are the gravitational force (weight) and the resistive FG force In our frame of reference, we will take down as the positive direction. FR.
ONLINE: MATHEMATICS EXTENSION 2 EXERCISE p6502 Consider an object of mass m falling due to gravity. The object was released with an initially velocity v0. The resistive force due to the medium the object falls through is of the form and directed in the opposite direction to the motion. Derive the following results Comment on the acceleration a, velocity v and displacement x as ? Sketch graphs for acceleration a, velocity v and displacement x time graphs for v0 > vT v0 = 0 and v0 < vT where v0 is the initial velocity. Solution The forces acting on the object are the gravitational force FG (weight) and the resistive force FR. In our frame of reference, we will take down as the positive direction.
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