Question

question 16 (1 point)
an object is moving with constant non - zero velocity in the + x axis. the position versus time graph of this object is
a horizontal straight line.
a vertical straight line.
a straight line making an angle with the time axis.
a parabolic curve.

Explanation:

When an object moves with a constant non - zero velocity \(v\) along the \(+x\) axis, the position - time relationship is given by the equation \(x = x_0+vt\) (where \(x_0\) is the initial position). This is a linear equation of the form \(y = mx + c\) (in the \(x - t\) plane, \(y=x\), \(m = v\) (slope), \(x=t\), \(c=x_0\)). A horizontal straight line (\(x=\text{constant}\)) implies zero velocity. A vertical straight line would imply infinite velocity (not physical). A parabolic curve (\(x = at^{2}+bt + c\)) implies non - constant acceleration (\(a
eq0\)). A straight line making an angle with the time axis has a non - zero slope, and since the slope of the position - time graph gives the velocity (\(v=\frac{\Delta x}{\Delta t}\)), a non - zero constant slope means a non - zero constant velocity.

Answer:

a straight line making an angle with the time axis.