An object’s velocity as a function of time is given by v(t)=bt−ct3, where b and c are positive constants with appropriate units.

A. If the object starts at x=0 at time t=0, find an expression for the time when it’s again at x=0. Express answer in terms of b & c.

B. Find an expression for its acceleration at that time.
Express your answer in terms of variables b and c.

Acatapult is tested by roman legionnaires. they tabulate the results in a papyrus and 2000 years later the archaeological team reads (distances translated into modern units): range = 0.4 km; angle of launch = π/5 rad; landing height = launch height. what is the initial velocity of launch of the boulders if air resistance is negligible?

The ratio of lift to drag l/d for a wing or airfoil is an important aerodynamic parameter, indeed, it is a direct measure of the aerodynamic efficiency of the wing. if a wing is pitched through a range of angle of attack, l/d first increases, then goes through a maximum, and then decreases. consider an infinite wing with an naca 2412 airfoil. estimate the maximum value of l/d. assume that the reynolds number is 9x10^6.

Both independent and dependent clauses