Question

suppose that an object is moving with a constant velocity. make a statement concerning its acceleration.
the acceleration must be constantly increasing.
the acceleration must be constantly decreasing.
the acceleration must be a constant non - zero value.
the acceleration must be equal to zero.
question 12 (1 point)
the slope of a position - time graph measures which of the following quantities?
(a) average acceleration (b) instantaneous velocity
(c) average velocity (d) distance
a
b
c
d

Explanation:

Step1: Recall the formula for acceleration

Acceleration \(a=\frac{\Delta v}{\Delta t}\), where \(\Delta v = v - u\) (final velocity - initial velocity) and \(\Delta t\) is the time interval.

Step2: Analyze when velocity is constant

If velocity \(v\) is constant, then \(v - u=0\). So, \(a = \frac{0}{\Delta t}=0\).

Step3: Recall the formula for slope of position - time graph

The slope of a position - time graph \(s - t\) is given by \(\text{slope}=\frac{\Delta s}{\Delta t}\). For a position - time graph, the average velocity \(v_{avg}=\frac{\Delta s}{\Delta t}\) (where \(\Delta s\) is the change in position and \(\Delta t\) is the change in time).

Answer:

For the first question: The acceleration must be equal to zero.
For the second question: c. average velocity