Problem 1

A ball is projected horizontally from a table of height

h

with initial speed

u

; the ground is horizontal below. Neglect air resistance, take constant gravity

g

, and choose

x

horizontal along launch and

y

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.prevStep problems.proof.nextStep

y=0\Rightarrow t=\sqrt{2h/g}

problems.proof.analysis

Insert the physical relation into the equation and distinguish known from unknown quantities. The idealizations stated in the setup justify its use.