i) Find an approximation to (5)^0.5 by using the newton-Raphson
method & f(x)=X^2-5 starting from x=2, Given your anser to six
decimal places
ii) A stone is shot upward from the origin with an initial valocity of
100m/s, The motion of the stone follows the following differential
equation assuming no air resistance :
where : m= the mass of the stone
(m)(d^2y/dt^2)= -mg g= the gravitational acceleration and
y= the position of the stone from origin
Find the Solution for velocity and position of the stone as a function of time based on the above stated initial conditions.