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Two bodies A and B are dropped from a height. The time taken by A and B to reach the ground is given by the formula h = 1/2 gt². If the ratio of their times is 4:5, find the ratio of their heights.

1. 16:25
2. 25:16
3. 4:5
4. 5:4

Correct answer: 16:25

Solution

The height is proportional to the square of the time taken (h ∝ t²). Given the time ratio is 4:5, the height ratio will be (4²):(5²) = 16:25.

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