The definition of velocity and the graphical analysis allows to find the correct answer for the velocity of a body moving in the negative direction is:
c) A downward-sloping line segment
Kinematics studies the movement of bodies, establishes relationships between position, velocity and acceleration.
Velocity is defined as the change of position in the time interval.
[tex]v= \frac{\Delta x}{\Delta t}[/tex]
In a graph of this expression, time is placed on the x-axis and the position on the y-axis.
In general, if the final position is greater than the initial position, the speed is positive and the slope must be upward sloping.
If the final position is less than the initial position, the velocity is negative and the slope of the graph is downward sloping, in the attachment we can be this type of graph.
Let's review the different answers:
a) False. This velocity is positive.
b) False. In this case the speed is vertical.
c) True. The final position is less than the initial position, therefore the velocity is negative.
d) False. In that case there is no change in position, therefore the velocity is zero
In conclusion, using the definition of velocity and graphical analysis we can find the correct answer for the velocity of a body moving in the negative direction is:
c) A downward-sloping line segment
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