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vesna_86 [32]
3 years ago
13

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

of 60 mph. how far apart are they (to the nearest mile) after 4 hours.

Mathematics
2 answers:
Helga [31]3 years ago
6 0

<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}

d = 120\sqrt{5} ~ miles

d \approx \boxed {268 ~ miles}

<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

Alborosie3 years ago
3 0

The Carrie and Brent are \boxed{268{\text{ miles}}} apart from each other after 4 hours.

Further explanation:

The relationship between speed, distance and time can be expressed as follows,

\boxed{{\text{Speed}} = \frac{{{\text{Distance}}}}{{{\text{Time}}}}}

Given:

Carrie drives due east at a rate of 30{\text{ miles/hour}}.

Brent drives due south at a rate of 60{\text{ miles/hour}}.

Explanation:

Consider the distance covered by the Carrie as {d_c}.

The distance covered by the Carrie can be obtained as follows,

\begin{aligned}30&= \frac{{{d_c}}}{4}\\{d_c} &= 4 \times 30\\{d_c}&= 120{\text{ miles}}\\\end{aligned}

Consider the distance covered by the Brent as {d_b}.

The distance covered by the Brent can be obtained as follows,

\begin{aligned}60&= \frac{{{d_b}}}{4} \hfill\\{d_b} &= 4 \times 60 \hfill\\{d_b} &= 240{\text{ miles}} \hfill\\\end{aligned}

The Carrie and Brent are \boxed{268{\text{ miles}}} apart from each other after 4 hours.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Speed

Keywords: Carrie, Brent, leave, same time, time, leave home, Carrie drives, east, rate, 30 mph, south, drive to south, 4 hours, 60 mph, far, apart,  

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