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A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m/s², the range of the missile is

1. 60 m
2. 80 m
3. 40 m
4. 20 m

Correct answer: 80 m

Solution

For maximum range, the angle of projection is 45°. The range is given by R = (u² sin 2θ) / g. Substituting u = 20 m/s, θ = 45°, and g = 10 m/s², we get R = (20² sin 90°) / 10 = 80 m.

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