Physics

Physics · mechanics

Problem

h

? Now assume that we have a frictional force that is proportional to the velocity vector, such that the equation of motion is as follows

\frac{d \vec{v}}{d t}=\vec{g}-\beta \vec{v}

Given constants: 2. Trajectory of a point mass A point mass on the ground is thrown with initial velocity

\vec{v}_{0}

that makes an angle

\theta

with the horizontal. Assuming that air friction is negligible, Context question: (a) What value of

\theta

maximizes the range? Context answer:

\frac{\pi}{4}

Context question: (b) What value of

\theta

maximizes the surface area under the trajectory curve? Context answer:

\pi / 3