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WITCHER [35]
3 years ago
12

10. A person walks 12.0 m east, then turns and goes 5.00 m west, then turns and goes back 2.00 m east.

Mathematics
1 answer:
galina1969 [7]3 years ago
5 0

Step-by-step explanation:

Given that,

A person walks 12.0 m east, then turns and goes 5.00 m west, then turns and goes back 2.00 m east.

(a) Distance is equal to total path covered during the entire journey.

Distance = 12 + 5 +2

Distance = 19 m

(b) The shortest path covered is equal to the shortest path traveled. Let east is positive and west is negative. So,

Displacement = 12 +(-5) +2

Displacement = 9 m

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The domain is t=0 to t=3.2  and range is y = 0 to 57.125 feet.

<u>What are Domain and range of a Function?</u>

  • The range of values that we are permitted to enter into our function is known as the domain of a function.
  • The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
  • After we enter an x value, the function outputs this sequence of values. The y values are those.
  • A function can be compared to a piece of equipment on an assembly line.
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Given function is : y = -16t^2 + 50t + 4

It hits the ground when y=0

0 = -16t^2 + 50t + 4

8t^2 -25t -2 = 0

t = 25/16 + (1/16)sqrt(625+64) = (25+26.25)/16 = 51.25/16 = 3.2 seconds

domain is t=0 to t=3.2  [3.2]

take the derivative and set it equal to zero to find maximum height

-32t +50 = 0

t = 50/32 = 25/16 = 1.5625 seconds

-16(25/16) + 50(25/16) + 4 = 34(25/16) + 64/16 = (17(25)+32)/8 = 57.125 = maximum height

range is y = 0 to 57.125 feet.   the discus goes from 4 feet to 57 1/8 feet and back down to 0 feet.

Know more about Domain and Range with the help of the given link:

brainly.com/question/20349151

#SPJ4

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