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Motion

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No, the equation displacement = t2 + 40t + 40 does not universally describe the displacement covered by a body.

Here's why:

  • Displacement vs. Time: This equation represents displacement as a function of time (t). While it can describe the displacement of a body under certain conditions, it's not a general law.
  • Specific Scenario: This particular equation (t2 + 40t + 40) implies a specific type of motion, namely uniformly accelerated motion. The 't2' term indicates constant acceleration. The coefficients (1, 40, and 40) would be related to the initial velocity and the constant acceleration.
  • General Motion: Displacement can be much more complex. It depends on the forces acting on the body. If the acceleration isn't constant, the equation would be different (and likely more complicated).

In summary: The equation can describe displacement in a specific situation (constant acceleration), but it's not a universal formula for all types of motion.

Wrote answer · 6/15/2025
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