Question

the steeper the slope is, the faster the motion is changing. true false question 2 1 pts the slope of a position - time graph represents velocity (speed with direction) true false question 3 1 pts fill the blank the slope of a distance - time graph will give.

Explanation:

• Question 1: In a motion - related graph (such as a position - time graph), the slope represents the rate of change of the quantity on the y - axis (position) with respect to the quantity on the x - axis (time). A steeper slope means a larger change in position over a given time interval, indicating a faster change in motion.
• Question 2: The formula for the slope of a position - time graph is \(m=\frac{\Delta x}{\Delta t}\), where \(\Delta x\) is the change in position and \(\Delta t\) is the change in time. Velocity is defined as \(v = \frac{\Delta x}{\Delta t}\) (with direction for vector velocity). So, the slope of a position - time graph represents velocity.
• Question 3: The formula for the slope of a distance - time graph is \(m=\frac{\Delta d}{\Delta t}\), where \(\Delta d\) is the change in distance and \(\Delta t\) is the change in time. Speed is defined as \(s=\frac{\Delta d}{\Delta t}\) (since distance is a scalar quantity, we get speed).

Answer:

• Question 1: True
• Question 2: True
• Question 3: speed