Answer:
30
Step-by-step explanation:
For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...
a·b = (xa)(xb) + (ya)(yb)
Substituting the given information, you have ...
a·b = 5·4 + 2·5 = 20 + 10
a·b = 30
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Some graphing calculators can do such math. There are also dot product calculators available on the Internet. If you have quite a few of these to calculate, you can put the appropriate formula into a spreadsheet.
The formula for angular frequency is:
ω = velocity/radius
Since we are given distance(8.0m) and time(11 seconds) , we can also express the formula as:
ω = distance/(radius)(time)
Substituting the given values:
8.0m/(0.241m)(11s)
Which would give us the answer of 3.03 seconds.
Hope this answer helps.