Question

Compare graphs a and b in figure 11-2 which graph shows a greater velocity at 5 seconds? at 10 seconds? that. Describe how you know.

Answer 1

At five seconds, Graph A has a greater velocity because the slope of the line is steeper. At 10 seconds, however, Graph B's slope is steeper, so it's velocity is greater.

Answer 2

At 5 seconds, graph a shows a greater velocity. At 10 seconds, graph b shows a greater velocity.

Step-by-step explanation:

In a distance-time graph, the slope of the curve corresponds to the velocity of the object. In fact, the slope of the curve is defined as:

`m=(\Delta y)/(\Delta x)`

where
`\Delta y` is the variation of the y-variable and
`\Delta x` the variation of the x-variable.

In a distance-time graph, the y variable is the distance, while the x-variable is the time. Therefore, the slope of the curve corresponds to the ratio between the variation in distance and the variation in time:

`m=(\Delta s)/(\Delta t)`

However, this is also the definition of velocity. Therefore:

- At 5 seconds, graph A has a greater slope, which means it shows a greater velocity than graph B

- AT 10 seconds, graph B has a greater slope, which means it shows a greater velocity than graph A