Asked in PMC Practice Test 14 (2021) 2021

The slope determined by drawing a right-angled triangle drawn with the tangent as the hypotenuse will be the same as?

Correct answer: A. With different sizes of triangles drawn

  • A. With different sizes of triangles drawn
  • B. At a different point on curve
  • C. At the start and end of the curve
  • D. All of these options are correct

Explanation

The slope represents the gradient of a tangent of a curve at a given point on the curve. Therefore the size of triangles does not matter as long as they are right-angled and the hypotenuse is drawn at the same angle at the given point.

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About Displacement and Velocity

Displacement is the directed change in position, while velocity is the rate of change of displacement and includes both magnitude and direction. The topic connects position-time and velocity-time graphs with average and instantaneous values, and distinguishes displacement from distance and velocity from speed.

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