Question

Three stones of different mass (1 m, 2m & 3m) are thrown vertically upward with different velocities (l v, 2v & 3v respectively). The diagram indicates the mass and velocity of each stone. Rank from high to low the maximum height of each stone. Assume air resistance is negligible. 

(A) I, II, III 

(B) II, I, III 

(C) III, II, I 

(D) I, III, II 

(E) all reach the same height 

Answer 1

Correct option (C) III, II, I

Maximum height of a projectile is found from v_y = 0 m/s at max height and (0 m/s)² = v² + 2gh and gives h = v²/2g. Mass is irrelevant. Largest initial speed = highest.