By Coding in Matlab

A two-inch diameter craft ball is thrown vertically. This initial velocity of the ball is 20 ft/s

a) Neglecting drag, draw a free body diagram and formulate a first order ODE that governs the velocity of the ball. Is the ODE linear or non-linear?
for part a I got t= 0.62 second

b) To determine the drag coefficient effect, an experiment has been conducted that showed the terminal velocity of the ball (during a free fall) to be 20 ft/s. Use Euler’s method to estimate the "actual" time to achieve maximum elevation for the case that the ball is thrown up with the given initial velocity (20 ft/s).

Agas contained within a piston-cylinder assembly e end nation about same energy states, 1 and 2, where pi 10 bar, v undergoes two processes, a and b, between the sam 0.1 m3, ui-400 kj and p2 1 bar, v2 1.0 m2, u2 200 kj: process a: process from 1 to 2 during which the pressure- volume relation is pv constant process b: constant-volume process from state 1 to a pressure of 2 bar, followed by a linear pressure-volume process to +20 0 state 2 kinetic and potential energy effects can be ignored. for each of the processes a and b, (a) sketch the process on p-v coordinates, (b) evaluate the work, in kj, and (c) evaluate process the heat transfer, in kj