The graph below shows the position of a toy over time, measured using photogates.

At which of the labeled points is the car's velocity at a single moment lowest?

A. Point A
B. Point B
C. Point C.
D. Point D.

The graph below shows the position of a toy over time measured using photogates At which of the labeled points is the cars velocity at a single moment lowest A class=

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Point C.

Explanation

[tex]\textbf{Velocity} = \dfrac{\text{Change in }\textbf{displacement}}{\text{Change in Time}} = \dfrac{\Delta {\bf x}}{\Delta t}[/tex].

[tex]\dfrac{\Delta x}{\Delta t}[/tex] is the same as the gradient of the tangent to the position-times graph at the point in question.

Draw a tangent line to the curve at each point. Measure the gradient of each tangent line. The gradient of the tangent line to the curve is smallest at point C among all four points. Therefore, the car's velocity is smallest at point C.

Ver imagen jacob193

Answer:

c

Explanation:

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