Problem 1
A ball is projected horizontally from a table of height with initial speed ; the ground is horizontal below. Neglect air resistance, take constant gravity , and choose horizontal along launch and vertically upward. (a) Find flight time. (b) Find range. (c) Find velocity components and speed just before impact, and state the direction. Keep the sign convention consistent and use appropriate SI units throughout. Each part builds on intermediate results from the preceding part; apply a physical relation only where the stated model assumptions hold. Finally compare the answers with the initial conditions, expected trends, and an independent check when available.
problems.proof.stepOf
problems.proof.analysis
Apply the governing law for the stated model, using the sign convention in the problem. This provides the starting equation for the later parts.
problems.proof.pitfall. Vertical velocity at impact is not zero; only horizontal acceleration vanishes.