(a) Define gravitational field intensity

(b) In an experiment to determine the acceleration of free-fall due to gravity, g, using a simple pendulum of length I, six different values of I were used to obtain six corresponding values of period T. If a graph of I along the vertical axis is plotted against T\(^2\) on the horizontal axis;

(i) make a sketch to show the nature of the graph,

(ii) write down the equation that relates T, I and g hence obtain an expression for the slope of the graph

(iii) given that the slope of the graph is 0.25, determine the value for g [Take \(\pi\) = 3.142]

(c) A stone, thrown horizontally from the top of a vertical wall with a velocity of 15 ms\(^{-1}\), hits the horizontal ground at a point 45m from the base of the wall. Calculate the

(i) times of light of the stone

(ii) height of the wall [g = 10ms\(^{-2}\)]