Question

While determining velocity from the
position-time graph, velocity at any time
is the slope of the to the point on
the graph at that instant.
[2 marks]
perpendicular
tangent
line from origin
Unit vector​

Answer 1

Answer:

The slope of a given point is the instantaneous velocity. For example if you had a position vs. time graph, then if you were to find the instantaneous velocity of a moment, point P, then the slope of point P is the instantaneous velocity.

Explanation:

Answer 2

Answer:

While determining velocity from the position time graph, velocity at any time is the slope of the tangent to the point on the graph at that instant.

Explanation:

• The slope of the tangent drawn to the position-time graph at any location determines instantaneous velocity.
• The instantaneous velocity at any point on a position-versus-time graph called the slope.
• It's calculated by drawing a straight line parallel to the curve at the point of interest and calculating the slope of that line.
• At a particular point, the tangent reflects the instantaneous rate of change of the given function.
• The slope of the tangent at a given position is equal to the function's derivative at that same location.
• As x approaches zero, the slope of the tangent is defined as the limit of y/x. The value at the provided function's point gives the slope of the tangent at that point.

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