The horizontal range of a projectile, at a certain place, is completely determined by:
Correct answer: A. The angle of projection
- A. The angle of projection
- B. The initial velocity of projection
- C. The mass of the projectile
- D. Speed and mass of the projectile
Explanation
The horizontal range of a projectile is primarily determined by the angle of projection for a given initial velocity. The formula for the range incorporates both the angle of projection and the initial velocity, and it is maximized when the angle is 45 degrees. Option A is correct as it highlights the angle of projection as a key factor. Option B is incorrect because, although initial velocity influences the range, it alone is not sufficient to completely determine it without the angle. Option C is incorrect because the mass of a projectile does not affect the range in a vacuum or when air resistance is negligible. Finally, Option D is incorrect because while speed is a factor, mass is not relevant to determining the range.
This question appeared on the UHS MDCAT 2010 paper, which you can sit online with every answer explained.
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About Projectile Motion
Projectile motion combines uniform horizontal motion with vertically accelerated motion under gravity, assuming air resistance is neglected. Questions use the components of initial velocity to find time of flight, maximum height, horizontal range and position, while distinguishing projectile motion from general circular or one dimensional motion.
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