Physic Labs

Problem 1

An object is launched from level ground with initial speed v0v_0 at angle θ\theta above the horizontal. Neglect air resistance and take constant gravitational acceleration gg. Find the flight time, range, and maximum height. Assume the string, pulley, electrical source, or optical apparatus is ideal as stated, and neglect any effect not specified. State a clear sign convention, identify the physical Keep one model and sign convention throughout. Reuse each intermediate result with the same convention, then check that the answer has the required physical dimensions. (a) Set up the physical relation. (b) Find an intermediate quantity. (c) Obtain the answer and check its conditions and units.
problems.proof.stepOf
problems.proof.prevStepproblems.proof.nextStep
x(t)=v0tcos⁡θ,y(t)=v0tsin⁡θ−12gt2x(t)=v_0t\cos\theta,\quad y(t)=v_0t\sin\theta-\tfrac12gt^2
problems.proof.analysis

Horizontal acceleration is zero and vertical acceleration is −g-g, giving the position at all times. This is consistent with the stated model and the chosen sign convention.