Calculating the maximum velocity of a jet ski.

The ski boat's jet propulsive system draws water in at point A (at the middle of the bottom of the boat) and expels it at B (at back of boat) at 80ft/s relative to the boat. Assume that the water drawn in enters with no horizontal velocity relative to the surrounding water. The maximum mass flow rate of water through the engine is 2.5 slugs/s. Hydrodynamics drag exerts a force on the boat of magnitude 1.5v lb, where v is the boat's velocity in feet per second. Neglecting aerodynamic drag, what is the ski boat's maximum velocity?

Satellite orbit around earth

A satellite at r(0) =10,000 miles from the center of the earth is given an initial velocity v(0) = 20,000 ft/s in the direction shown(getting further away). Determine the magnitude of the transverse component of the satellites velocity when r=20,000mi.(the radius of earth is 3960mi.)

Dynamics

please provide me complete/comprehensive solution in word or in text.

Dynamics

Determine the position of the following system at t = 10 s (see attachment)

Dynamics Problem

In the pulley system shown, object "A" moves downwards with a velocity of 3m/s. Determine the magnitude and direction of the velocity of object "B". (See attachment for diagram)