This graph indicates a _____ velocity. Constant Changing

Mathematics

2 answers:

ch4aika [34]3 years ago

8 0

This graph indicates a changing velocity.

If the velocity is constant, the displacement graph would have a straight line, instead of a curve. The line is a curve because the displacement is different for the same amount of time during the recorded period. As you can see, the line tend to curve more at the end, which means the velocity has increased comparing to the beginning.

Plus, if you look at the actual numbers, for the first 6 seconds, it travelled 36m, but for the next 6 seconds, it travelled 144/2 = 72m, which is not the same as 36m, so we can spot the change in velocity.

Ivan3 years ago

4 0

Changing velocity graph

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Two rectangles or similar one is 5 cm x 12 cm the long side of the second rectangle is 8 cm greater than twice is short side fin

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Answer:

The length is 48

The width is 20

Step-by-step explanation:

When 2 rectangles (figures) are similar, the ratio of corresponding sides are equal.

This rectangle is 5 by 12, so the shorter side (corresponding to 5) to the longer side (corresponding to 12) would be the same ratio, 5:12.

Let shorter side be s, and

longer side be l

It says, long side is 8 greater than twice short, we can write this as:

$l=2s+8$

In similar rectangles, we have said the corresponding sides' ratio are equal, so we could write:

$\frac{s}{l}=\frac{5}{12}$

Now, we replace the new found expression for "l" onto this and cross multiply and solve for s first:

$\frac{s}{l}=\frac{5}{12}\\\frac{s}{2s+8}=\frac{5}{12}\\5(2s+8)=12*s\\10s+40=12s\\2s=40\\s=\frac{40}{2}\\s=20$

So the shorter side is 20. and hence the longer side would be:

l = 2s + 8

l = 2(20) + 8

l = 40 + 8

l = 48

The longer side is 48.

The length is 48

The width is 20

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