You have to estimate the slope of the tangent line to the graph at <em>t</em> = 10 s. To do that, you can use points on the graph very close to <em>t</em> = 10 s, essentially applying the mean value theorem.
The MVT says that for some time <em>t</em> between two fixed instances <em>a</em> and <em>b</em>, one can guarantee that the slope of the secant line through (<em>a</em>, <em>v(a)</em> ) and (<em>b</em>, <em>v(b)</em> ) is equal to the slope of the tangent line through <em>t</em>. In this case, this would be saying that the <em>instantaneous</em> acceleration at <em>t</em> = 10 s is approximately equal to the <em>average</em> acceleration over some interval surrounding <em>t</em> = 10 s. The smaller the interval, the better the approximation.
For instance, the plot suggests that the velocity at <em>t</em> = 9 s is nearly 45 m/s, while the velocity at <em>t</em> = 11 s is nearly 47 m/s. Then the average acceleration over this interval is
(47 m/s - 45 m/s) / (11 s - 9 s) = (2 m/s) / (2 s) = 1 m/s²
Answer:
Fewer than means that something is less than another thing. For example, the number 2 is fewer than the number 4. There's also this cool symbol that you can use instead of writing the words 'fewer than'. You could say for example 2<4. A fun way to remember which way the symbol points is to imagine it like an alligator, the number 2 is trying to eat the number 4 to grow!
Step-by-step explanation:
Hope this helps!
Answer:
Step-by-step explanation:
other runner runs in 12 seconds=100 m
runs in 9.9 seconds=100/12 ×9.9=990/12=330/4=165/2=82.5 m
you beat him by 100-82.5=17.5 m
Answer:
The graph shows the number of car payments paid on the horizontal axis and the amount owed on the vertical axis. The line starts high on the vertical axis and decreases as it goes along the horizontal axis.
Step-by-step explanation:
Among the given options only the 2nd option is correct.
i. e., the graph shows the number of car payments paid on the horizontal axis and the amount owed on the vertical axis. The line starts high on the vertical axis and decreases as it goes along the horizontal axis.
1. 600
2. 650
3. 400
4. 2,500
5. Handball and Bicycling
6. 1,650
7. Swimming and Walking
8. 3-hour walk
9. Cross-Country Skiing
10. 8
11. about 7
12. 12
13. 1-5 million
