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Two objects are projected with same velocity 'u' however at different angles α and β with the horizontal. If α + β = 90°, the ratio of horizontal range of the first object to the 2nd object will be : (1) 1 : 2 (2) 4 : 1 (3) 2 : 1 (4) 1 : 1

1. 1 : 2
2. 4 : 1
3. 2 : 1
4. 1 : 1

Correct answer: 1 : 1

Solution

When two objects are projected with the same initial velocity at angles that are complementary (sum to 90°), their horizontal ranges are equal due to the symmetry in projectile motion. This means that the horizontal distance traveled by each object will be the same, resulting in a ratio of 1:1.

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