A railgun is a powerful weapon which is used in tanks. It shoots with a velocity of \(750\text{ m/s}\). If the height of the tank is \(3\text{ m}\), what is the maximum height (in metres) above the ground to which a railgun can shoot?

**Details and assumptions**:-

- Assume that the railgun can shoot at any angle to the horizontal.
- Neglect the air resistance
- Take the acceleration due to gravity(g) as \(10{\text{ m/s}}^2\).

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