MathDB

Do either

(1)

(2)

(1)

A circle radius

r

rolls around the inside of a circle radius

3r,

so that a point on its circumference traces out a curvilinear triangle. Find the area inside this figure.

(2)

A frictionless shell is fired from the ground with speed

v

at an unknown angle to the vertical. It hits a plane at a height

h.

Show that the gun must be sited within a radius

\frac{v}{g} (v^2 - 2gh)^{\frac{1}{2}}

of the point directly below the point of impact.

Problem Statement