

Explanation
(a) The gravitational field intensity at any point on the earth's field is the gravitational force acting on a unit mass at that point

(b)(i)

(ii) A simple Pendulum of length L, swinging in a vertical plane at a small angle of displacement has a period T given as
\(T = 2 \pi \sqrt{\frac{L}{g}}\)
\(T^{2} = \frac{4 \pi^2L}{g}\)
L = \(\frac{gT^2}{4 \pi^2}\)
Slope S of the graph I against \(T^2 = \frac{g}{4 \pi^2}\)
(iii) g = 4\(\pi^2\)S = 4(3.142)\(^2\) x 0.25 = 9.87m/s\(^{2}\)

(c)(i) Time t = \(\frac{distance}{speed} = \frac{45}{15}\) = 3(s)
(ii) Height h = \(\frac{1}{2} gt^2 = \frac{1}{2} \times 10 \times 3^3 = 45m\)




