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Margaret [11]
2 years ago
15

A dog is leashed to the corner of a house. how much running area does the dog have? 40 ft

Mathematics
1 answer:
Ksenya-84 [330]2 years ago
7 0

Answer:

5027.2ft^2

Step-by-step explanation:

Given data

Radius= 40ft

The expression for the area covered is given as

A= πr^2

Substitute

A= 3.142*40^2

A=3.142*1600

A=5027.2ft^2

Hence the area covered is 5027.2ft^2

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The average velocity of the object after during the first three seconds is: 48m/s

The time at which the instantaneous velocity equals the average velocity within the first three seconds is 1.5 seconds.

<h3>What is instantaneous and average velocities?</h3>

Instantaneous velocity  is the speed of an object at a particular point in time.

Average velocity is the velocity of an object after covering a certain distance for a period of time

Analysis:

Given

initial height = 600 feet

Height with respect to time = f(t) = -16t^{2} + 600

a) Height at t = 0 = 600 feet

    Height at t = 3 seconds = f(3) = -16(3)^{2} + 600 = 456 feet

Distance travelled  = 600 - 456 = 144 feet

Average velocity = distance travelled/time taken  = 144/3 = 48 feet/seconds

b) instantaneous velocity at time t = \frac{df(t)}{dt} = \frac{d(-16t^{2} + 600) }{dt} = -32t

  when instantaneous velocity equal average velocity

     -32t = -48

      t = 1.5 seconds

In conclusion, the Average velocity after 3 seconds is 48 feet per seconds and the time taken for the average velocity to equal the instantaneous velocity is 1.5 seconds.

Learn more about instantaneous and Average velocity: brainly.com/question/13372043

#SPJ1

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