Question:

Find the velocity of the particle which follows the following
curves (x in m and t in sec)
:

(a)
x_{1}(t) = 100 + 4 t.

(b) x_{2}(t)
= 3 + 4 t.

Answer:

We will present two methods to solve this problem

Method 1:

These are equation for a straight line. the general form of a straight line equation is

x(t) = c_{1} + c_{2}
t,

where c2 is the slope of the line.

Sine the velocity is the slope of x(t),

(a) v_{1}(t) = 4
m/sec

(b)
v_{2}(t) = 4 m/sec

Method 2 ( General) : Math Refresher