Question

Two balls are projectted in a direction at 60°and 30° with velocities V1 and V2 with horizontal.If both attained the same height, then find ratio of their initial speed?​

Answer 1

this is the answer of this question

Answer 2

R_max = u² sin²θ/2g

v1² sin²60°/2g = v2² sin²30°/2g

(v1)² sin²60° = (v2)²sin²30°

(v1/v2)² = sin²30°/sin²60°

v1/v2 = (1/2)/(√3/2)

v1/v2 = (1/√3)

v1/v2 = 1/√3

The ratio of their initial speed is 1:√3.