A hot air balloon rising straight up from a level field is tracked by a range finder located a horizontal distance of 500m from the lift-off point. At the moment the range-finder's elevation angle is pi/4 , the angle is increasing at a rate of 0.14 rad/min. How fast is the balloon rising at the moment?

How will each of the following changes in demand and/or supply affect equilibrium price and equilibrium quantity in a competitive market; that is, do price and quantity increase or decrease, or are the answers indeterminate because they depend on the magnitudes of the shifts?

What is the conversion factor between kg/m^3 and g/m^3. express your experimental values for the densities in kg/m^3.

Aperson stands on a platform, initially at rest, that can rotate freely without friction. the moment of inertia of the person plus the platform is ip. the person holds a spinning bicycle wheel with its axis horizontal. the wheel has moment of inertia iw and angular velocity ωw. take the ωw direction counterclockwise when viewed from above. part a what will be the angular velocity ωp of the platform if the person moves the axis of the wheel so that it points vertically upward?