A missile is fired for maximum range with an initial velocity of 20 m/s. If g=10m/s2, the range of the missle is:
Correct answer: C. 40 m
- A. 30 m
- B. 20 m
- C. 40 m
- D. 60 m
Explanation
Option C is correct.The range of a projectile is maximum when the angle of projection is 45 degrees. In this case, the angle of projection is not given, so we will assume that the angle of projection is 45 degrees. The maximum range of a projectile is given by the following formula: R = u² sin 2θ / g where: u is the initial velocity of the projectile θ is the angle of projection g is the acceleration due to gravity Placing the values in the formula, we get: R = 20² sin 2 × 45 / 10 R = 40 m Therefore, the maximum range of the missile is 40 meters.
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