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tangare [24]
3 years ago
5

a rectangular garden has a perimeter of 54 feet. it's length is 3 less than twice its width. write and solve an equation to solv

e for the gardens dimensions
Physics
1 answer:
Yanka [14]3 years ago
5 0
2(L+W)=54
L=2W-3
Substitute L in the first equation:
2((2W-3)+W)=54. 
Divide by 2:
(2W-3)+W=27
Simplify by collecting like terms:
3W-3=27. 
Add 3:
3W=30.
Divide by 3 to get that 
W=10. 
Substitute the L and W relations to get 
L=2W-3
L=2*10-3
L=17. 
The answers are length is 17 and width is 10.
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v_{o,x} - Initial x-velocity, in meters per second.

t - Time, in seconds.

a_{x} - x-acceleration, in meters per second.

If we know that x_{o} = 0\,m, v_{o,x} = 0\,\frac{m}{s}, t = 0.60\,s and a_{x} = 1.8\,\frac{m}{s^{2}}, then the x-position of the skateboarder is:

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b) The y-position of the skateboarder is determined by the following expression:

y(t) = y_{o} + v_{o,y}\cdot t + \frac{1}{2}\cdot a_{y} \cdot t^{2} (2)

Where:

y_{o} - Initial y-position, in meters.

v_{o,y} - Initial y-velocity, in meters per second.

t - Time, in seconds.

a_{y} - y-acceleration, in meters per second.

If we know that y_{o} = 0\,m, v_{o,y} = -3.6\,\frac{m}{s}, t = 0.60\,s and a_{y} = 0\,\frac{m}{s^{2}}, then the x-position of the skateboarder is:

y(t) = 0\,m + \left(-3.6\,\frac{m}{s} \right)\cdot (0.60\,s) + \frac{1}{2}\cdot \left(0\,\frac{m}{s^{2}}\right)\cdot (0.60\,s)^{2}

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v_{x}(t) = \left(0\,\frac{m}{s} \right) + \left(1.8\,\frac{m}{s} \right)\cdot (0.60\,s)

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The x-velocity of the skateboard is 1.08 meters per second.

d) As the skateboarder has a constant y-velocity, then we have the following answer:

v_{y} = -3.6\,\frac{m}{s}

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