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In regards to the slopes of a geological gradient, they are both ___________.

a) Linear
b) Constant
c) Always positive
d) None of the above

1 Answer

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Final answer:

The slopes of a geological gradient can vary and are represented differently in physics, with examples including a graph of vertical velocity versus time showing deceleration followed by acceleration due to gravity. A linear displacement versus time plot indicates zero acceleration, and closer isolines signify a stronger field and a steeper slope.

Step-by-step explanation:

The slopes of a geological gradient are not necessarily linear, constant, or always positive. In physics, when discussing the movement of objects, like a ball in free fall, the graph of the ball's vertical velocity versus time would be initially positive, steadily decreasing, and becoming negative at the end. This represents the effect of gravity decelerating the ball upwards and then accelerating it downwards.

Additionally, when considering a plot of displacement versus time that is linear, this indicates that acceleration is zero, meaning there is constant velocity. Similarly, in the context of electric and gravitational fields, as isolines of electric or gravitational potential get closer together, this signifies a stronger field and hence a steeper slope on the graphical representation of the field.

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