Asked in ETEA MDCAT 2015 2015

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.

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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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