Question

the steeper the line on a velocity - time graoh, the faster the objects motion is changing
true
false
question 5
1 pts
what does the slope of a position - time graph represents
steepness
velocity
question 6
1 pts
can a line on a position - time graph a negative slope?
yes
no

Explanation:

• For the first statement: In a velocity - time graph, the slope of the line represents acceleration. A steeper line (larger slope magnitude) means a larger acceleration, which implies a faster change in the object's motion.
• For Question 5: The formula for the slope of a position - time graph is \(m=\frac{\Delta x}{\Delta t}\), and velocity \(v = \frac{\Delta x}{\Delta t}\). So the slope of a position - time graph represents velocity.
• For Question 6: A negative slope on a position - time graph means \(\frac{\Delta x}{\Delta t}<0\). If the position \(x\) is decreasing with time \(t\) (for example, an object moving in the negative direction), the slope is negative. So a line on a position - time graph can have a negative slope.

Answer:

• First statement: True
• Question 5: velocity
• Question 6: Yes