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.
v(T)=−u,∣vreturn∣=uv(T)=-u,\quad |v_{\rm return}|=u
problems.proof.analysis

Check with an independent law, limiting case, or physical sign. This can expose a convention error and confirms that the linked parts use consistent data.