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s344n2d4d5 [400]
3 years ago
13

A 100 meter sprinter reduces his time from 10.23 to 10.05 seconds.Work out the percentage change in speed

Mathematics
1 answer:
WARRIOR [948]3 years ago
7 0
I believe the answer is 1028%
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A particle starts at the point P=(−5,−1,3) when t=0 and moves along a straight line toward Q=(−6,−6,8) at a speed of 9 cm/sec. L
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Answer:

Step-by-step explanation:

Given

Particle moves from P\ (-5,-1,3)\ to\ Q\ (-6,-6,8)

speed of particle is v=9\ cm/s

Unit vector in the direction of vector \vec{PQ} is given by

\hat{n}=\frac{\vec{Q}-\vec{P}}{|\vec{Q}-\vec{P}|}

\hat{n}=\frac{-}{\sqrt{(-1)^2+(-5)^2+(5)^2}}

\hat{n}=\frac{}{\sqrt{1+25+25}}

Now Position of Particle at any time is given by

\vec{r(t)}=velocity\cdot time\cdot direction

\vec{r(t)}=9\cdot t\cdot \frac{}{\sqrt{1+25+25}}

Parametric vector equation is given by

x=\frac{-9t}{\sqrt{51}}

y=\frac{-45t}{\sqrt{51}}

z=\frac{45t}{\sqrt{51}}

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4 years ago
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(5^-2)^2 and 5^2•5^-6

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3 years ago
Which of the following best describes the slope of the line below?
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ΔTOY has coordinates T (−3, 4), O (−4, 1), and Y (−2, 3). A translation maps point T to T' (−1, 1). Find the coordinates of O' a
Setler79 [48]
Given:
T (-3,4) ; O (-4,1) ; Y (-2,3)
T'(-1,1) ; 

T
-3 move forward 2 points to reach -1
4 move forward 3 points to reach 1

O
-4 move forward 2 points to reach -2
1 move forward 3 points to reach -2

Y
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3 move forward 3 points to reach 0.

O'(-2,-2) ; Y'(0,0)   1st option.

3 0
3 years ago
Read 2 more answers
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