Two balls of masses 2m and 6m are thrown in air : one is vertically upwards and other at an angle `theta` with the vertical. The balls remain in air for the same time . Find the ratio of maximum heights attained by them .

Explanation

To solve the problem of finding the ratio of maximum heights attained by two balls of masses 2m and 6m thrown into the air, we can follow these steps:

### Step 1: Understand the Problem
We have two balls:
- Ball 1 (mass = 2m) is thrown vertically upwards with an initial velocity \( u_1 \).
- Ball 2 (mass = 6m) is thrown at an angle \( \theta \) with the vertical with an initial velocity \( u_2 \).

Both balls are in the air for the same time.
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