Moderate

Two bodies are falling with negligible air resistance, side by side, above a horizontal plane. If one of the bodies is given an additional horizontal acceleration during its descent, it:

Correct answer: A. Strikes the plane at the same time as the other body

  • A. Strikes the plane at the same time as the other body
  • B. Strikes the plane earlier than the other body
  • C. Has the vertical component of its velocity altered
  • D. Has the vertical component of its acceleration altered

Explanation

When two bodies are falling with negligible air resistance, the horizontal and vertical motions are independent. The vertical motion is only influenced by gravitational acceleration, which remains constant for both bodies. Therefore, the time it takes for both bodies to reach the horizontal plane remains the same, regardless of any horizontal acceleration applied to one of the bodies. Thus, Option A is correct as both bodies will strike the plane at the same time. Options B, C, and D are incorrect because horizontal acceleration does not affect vertical time of descent, vertical velocity, or vertical acceleration.

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About Force and Motion

Displacement, velocity and acceleration describe motion, including the horizontal and vertical components of projectile motion. The chapter connects these quantities with Newton's laws, momentum and impulse, then applies conservation of momentum to collisions, distinguishing elastic collisions from inelastic ones.

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