We know that
1 km-------------> 1000 m
X-----------------> 1 m
X=1/1000--------> 0.001 km
1 hour---------> 3600 sec
X---------------> 1 sec
X=1/3600--------> 0.0002777 hour
1 ft-----------> 0.3048 m
X-----------> 1 m
X=1/0.3048 ----------> 3.28084 ft
Part 1) <span>What are all three sprinters times in kilometers per hour? Round your answers to the nearest tenths.
a) </span><span>Usain Bolt 9.58 sec in 100 meter
100 meter-----------> 100*0.001------> 0.10 km
9.58 sec-------------> 9.58*(1/3600)-----> 0.0026611 hour
0.10/0.0026611----------> 37.6 km/hour
</span>b) Tyson Gay 9.69 sec in 100 meter
100 meter-----------> 100*0.001------> 0.10 km
9.69 sec-------------> 9.69*(1/3600)-----> 0.0026916 hour
0.10/0.0026916----------> 37.2 km/hour
c) Florence Griffith-Joyner 10.49 sec in 100 meter
100 meter-----------> 100*0.001------> 0.10 km
10.49 sec-------------> 10.49*(1/3600)-----> 0.0029138 hour
0.10/0.0029138----------> 34.3 km/hour
Part 2) <span>What are all three sprinters times in feet per second?
</span>
a) Usain Bolt 9.58 sec in 100 meter
100 meter-----------> 100*3.28084------> 328.084 ft
328.084 ft/9.58 sec----------> 34.25 ft/sec
b) Tyson Gay 9.69 sec in 100 meter
100 meter-----------> 100*3.28084------> 328.084 ft
328.084 ft/9.69 sec----------> 33.86 ft/sec
c) Florence Griffith-Joyner 10.49 sec in 100 meter
100 meter-----------> 100*3.28084------> 328.084 ft
328.084 ft/10.49 sec----------> 31.28 ft/sec
Part 3) <span>How much faster was Usain Bolt in the 100 meter than Tyson Gay?
9.69-9.58-------> 0.11 sec
</span>Usain Bolt was 0.11 sec faster than Tyson Gay in the 100 meter<span>
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Answer:
S(6, 10)
Step-by-step explanation:
1. The Midpoint (in this case, M) will always be halfway between both R and S (or other characters in some cases).
2. As M is only one X value away from R, it is only 1 X value from S as well, but in the other direction.
3. (7, 10) - (1, 0) = (6, 10)
The (7, 10) is the Midpoint Coordinates.
The (1, 0) is the distance from M to R.
The (6, 10) is the coordinates of S.
Answer:
Step-by-step explanation:
<span><span>v⃗ </span>+<span>w⃗ </span>=<span>z⃗ </span></span> Now, you were given some component vector that relates to <span>v⃗ </span> so <span><span>k1</span>⟨3,2⟩=<span>v⃗ </span></span>.
And from <span>⟨3,2⟩</span> and 90 degrees you know <span><span>w⃗ </span>=<span>k2</span>⟨−2,3⟩</span> OR <span><span>w⃗ </span>=<span>k2</span>⟨2,−3⟩</span>. And you can find <span>z⃗ </span> by looking a the math of the points... from <span>(−3,−3)</span> to <span>(−2,2)</span> is over 1 and up 5 so <span><span>z⃗ </span>=⟨1,5⟩</span><span>.
</span><span>Start and end are points, so (-3, -3) and (-2, 2).
</span>
<span><span>v⃗ </span>+<span>w⃗ </span>=<span>z⃗ </span></span>
<span><span>v⃗ </span>=<span>k1</span>⟨3,2⟩</span>
<span><span>w⃗ </span>=<span>k2</span>⟨−2,3⟩</span>
<span><span>z⃗ </span>=⟨1,5⟩</span>
<span><span>k1</span>⟨3,2⟩+<span>k2</span>⟨−2,3⟩=⟨1,5⟩</span><span>
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