% exam 2
% problem 4

clear all; clc; close all

syms t real

tt= 1;
r = [ 1.5*t^2+1, 4*t-1, 0]
v = diff(r, t)
vt= subs(v, t, tt)
speed = norm(vt)

% v  = [ 3*t,   4,   0]
% vt = [  3     4    0]
% speed = 5
 
r =
 
[ 3/2*t^2+1,     4*t-1,         0]
 
 
 
v =
 
[ 3*t,   4,   0]
 
 

vt =

     3     4     0


speed =

     5