Two projectiles are in flight at the same time. The acceleration of one relative to the other:
Correct answer: D. Is zero
- A. Is always 9.8 m/s2
- B. Can be as large as 19.8 m/s2
- C. Can be horizontal
- D. Is zero
Explanation
The correct answer is that the acceleration of one projectile relative to the other is zero. This is because both projectiles are subject to the same gravitational force, which provides them with an identical acceleration of 9.8 m/s2 downwards. Therefore, when considering one projectile in relation to the other, there is no difference in acceleration-hence, it is zero.Other options suggest incorrect scenarios: 9.8 m/s2 as a relative acceleration is incorrect because it doesn't account for the fact that both projectiles experience this equally, effectively canceling out any relative difference. 19.8 m/s2 is misleading as it suggests a scenario not possible under uniform gravitational influence. Lastly, horizontal acceleration is not applicable as gravity only affects vertical motion.
This question appeared on the ETEA MDCAT 2015 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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