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Tamiku [17]
3 years ago
5

Give the rate in miles per hour. Round to the nearest tenth. Rachel jogs 20 feet in 3 seconds.

Mathematics
1 answer:
Tanya [424]3 years ago
6 0

Answer:

Rate of jogging is 4.6 miles per hour.

Step-by-step explanation:

Rachel jogs 20 feet in 3 seconds and we have to find the rate of jogging in miles per hour.

Since 1 feet = 0.000189394 miles

Therefore, 20 feet = 0.0037879 miles

Similarly, 1 second = \frac{1}{3600} hour

Therefor, 3 seconds = \frac{3}{3600}

                                  = \frac{1}{1200} hours

Formula to calculate the rate = \frac{\text{Total distance of jogging}}{\text{Time taken to cover the distance}}

                                                = \frac{0.0037879}{\frac{1}{1200} }                                                        

                                                = 1200 × 0.0037879

                                                = 4.545

                                                ≈ 4.6 miles per hour

Therefore, rate of jogging is 4.6 miles per hour.

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\left(\frac{5+(-2)}{2},\frac{-9+(-2)}{2}\right) = \left(\frac{3}{2},-\frac{11}{2} \right)

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Answer:

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Carrie and brent leave home at the same time. carrie drives due east at a rate of 30 mph, while brent drives due south at a rate
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<h3>They are 268 miles far apart after 4 hours</h3>

<h3>Further explanation</h3>

Acceleration is rate of change of velocity.

\large {\boxed {a = \frac{v - u}{t} } }

\large {\boxed {d = \frac{v + u}{2}~t } }

<em>a = acceleration ( m/s² )</em>

<em>v = final velocity ( m/s )</em>

<em>u = initial velocity ( m/s )</em>

<em>t = time taken ( s )</em>

<em>d = distance ( m )</em>

Let us now tackle the problem !

<u>Given :</u>

v₁ = 30 mph due east

v₂ = 60 mph due south

t = 4 hours

<u>Unknown :</u>

displacement = d = ?

<u>Solution :</u>

d_1 = v_1 \times t

d_1 = 30 ~ mph \times 4 ~ h

d_1 = \boxed {120 ~ miles}

d_2 = v_2 \times t

d_2 = 60 ~ mph \times 4 ~ h

d_2 = \boxed {240 ~ miles}

d^2 = (d_1)^2 + (d_2)^2

d^2 = 120^2 + 240^2

d^2 = 72000

d = \sqrt{72000}

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<h2>Conclusion :</h2><h3>They are 268 miles far apart after 4 hours</h3>

<h3>Learn more</h3>
  • Velocity of Runner : brainly.com/question/3813437
  • Kinetic Energy : brainly.com/question/692781
  • Acceleration : brainly.com/question/2283922
  • The Speed of Car : brainly.com/question/568302

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate

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Your answer would be B.

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