A projectile fired vertically up from a cannon rises 200 meters before returning to ground. If the same cannon were to fire the same projectile at an angle, then the maximum range would be approximately (A) 200 m. (B) 400 m. (C) 800 m. (D) 1600 m. (Assume that air resistance is negligible.)

Question

Aditi Chauhan · Answer

The correct option is: (B) 400 m.
The range of the projectile fired is given as:

Here v₀ is the magnitude of initial velocity of projectile, $\phi _{0}$ is the angle at which the projectile is fired and g is the acceleration due to gravity.
The maximum height attained by the projectile is given as:

Here v₀ is the magnitude of initial velocity of projectile and g is the acceleration due to gravity.
The above expression can also be written as:

Therefore the maximum range of the projectile is twice the height attained when it was fired vertically.

Therefore, the maximum range of the projectile is 400 m and (B) is the correct option.

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A projectile fired vertically up from a cannon rises 200 meters before returning to ground. If the same cannon were to fire the same projectile at an angle, then the maximum range would be approximately (A) 200 m. (B) 400 m. (C) 800 m. (D) 1600 m. (Assume that air resistance is negligible.)

A projectile fired vertically up from a cannon rises 200 meters before returning to ground. If the same cannon were to fire the same projectile at an angle, then the maximum range would be approximately
(A) 200 m. (B) 400 m.
(C) 800 m. (D) 1600 m.
(Assume that air resistance is negligible.)

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A projectile fired vertically up from a cannon rises 200 meters before returning to ground. If the same cannon were to fire the same projectile at an angle, then the maximum range would be approximately (A) 200 m. (B) 400 m. (C) 800 m. (D) 1600 m. (Assume that air resistance is negligible.)

A projectile fired vertically up from a cannon rises 200 meters before returning to ground. If the same cannon were to fire the same projectile at an angle, then the maximum range would be approximately(A) 200 m. (B) 400 m.(C) 800 m. (D) 1600 m.(Assume that air resistance is negligible.)

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A projectile fired vertically up from a cannon rises 200 meters before returning to ground. If the same cannon were to fire the same projectile at an angle, then the maximum range would be approximately
(A) 200 m. (B) 400 m.
(C) 800 m. (D) 1600 m.
(Assume that air resistance is negligible.)