Physic Labs

Problem 1

An object is thrown vertically upward from ground at speed u with no air resistance. Find maximum height, total time, and return speed; g is constant. Use the stated ideal model: quantities are constant or vary only as specified, with no extra drag, losses, or external influences. State a sign convention, keep units consistent, and use a classical approximation only where appropriate. (a) Set up the governing equation from a fundamental law. (b) Solve for the requested quantity under the stated conditions. (c) Check the result using a suitable limit, sign, or unit test, and report both the expression and its physical meaning.
H=u2/(2g),T=2u/g,vreturn=−uH=u^2/(2g),\quad T=2u/g,\quad v_{\rm return}=-u
problems.proof.analysis

The boxed expressions answer the parts in order. Signs, conditions of validity, and constants follow the conventions in the statement.