1a. Explain what is meant by the acceleration of free fall due to gravity, g.

b. State two reasons why g varies on the surface of the Earth.

c. A stone is projected upwards at an angle of 30° to the horizontal from the top of a tower of height 100 m and it hits the ground at a point Q. If the initial velocity of projection is 100 ms\(^{-1}\), calculate the:

i. maximum height of the stone above the ground (neglect air resistance and take g as 10 ms\(^{-2}\))

ii. time it takes to reach this height

iii. time of flight.

iv. horizontal distance from the foot of the tower to the point Q (neglect air resistance and take g as 10 ms\(^{-2}\))