Question

Prove the following: (a) For two angles of projection θ and (90-θ) with same velocity v, (i) Range is same, (ii) Heights are in the ratio of tan2 θ:1, (iii) If the range and maximum height are equal, the angle of projection is tan-1 (4).

Answer 1

Answer:

(a) Show that the path of the projectile is a parabola.

(b)Prove the following: For two angles of projection theta and (90-theta) with same velocity u,

(i) Range is same.

(ii) Heights are in the ratio tan² theta:1

(iii) If the range and maximum height are equal, then angle of projection is tan raised to the power negative 1 (4)

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