% exam 2
% problem 6

clear all; clc; close all

syms t real

W = 10; % lb
v0 = 10; %ft/s
b = 2.5; % lb/s
tf = 3; % s
g = 32.2; %ft/s2
F = b*t;

m = W/g;
a = F/m;

v = int(a, t)+v0

vf = subs(v, t, tf)

% v = 46.2250
 
v =
 
161/40*t^2+10
 
 

vf =

  46.225000000000001