Answer the following with reference to two-dimensional projectile motion on level ground.
(a) State the principle of independence of horizontal and vertical motions and explain how this principle leads to the prediction that the path of a projectile is a parabola.
(b) If the horizontal component of the initial velocity is doubled while the vertical component remains unchanged, qualitatively describe how each of the following quantities will be affected, giving reason in each case:
(i) maximum height reached,
(ii) total time of flight,
(iii) horizontal range.
a. (a) Statement and explanation of independence principle and parabolic path
b. (b)(i) Effect on maximum height
c. (b)(ii) Effect on total time of flight
d. (b)(iii) Effect on horizontal range