1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrew11 [14]
3 years ago
10

Jon recently drove to visit his parents who live 648 miles away. On his way there his average speed was 14 miles per hour faster

than on his way home (he ran into some bad weather). If Jon spent a total of 27 hours driving, find the two rates (in mph). Round your answer to two decimal places, if needed.
Physics
2 answers:
Vladimir79 [104]3 years ago
8 0

Answer:

speed of the Jon visiting parents = 56 mph

           speed of the Jon when returning from home = 56 - 14 = 42 mph

Explanation:

given,

distance of Jon parent's house = 648 mile

avg speed when he was visiting his parent's house be 'x' mph

avg speed when he is returning from his parent's house be 'x-14' mph

total time taken = 27 hours

total distance = speed × time

648 = x × t₁

t_1 = \dfrac{648}{x}

648 = ( x - 14 ) × t₂

t_2 = \dfrac{648}{x-14}

t = t₁ + t₂

27 = \dfrac{648}{x} + \dfrac{648}{x-14}

1 = 24 (\dfrac{1}{x} + \dfrac{1}{x-14})

x² - 62 x + 336 = 0

x² - 56 x - 6 x + 336 = 0

(x - 56 )(x - 6)=0

on solving

x = 56 ,6

hence, speed of the Jon visiting parents = 56 mph

           speed of the Jon when returning from home = 56 - 14 = 42 mph

pochemuha3 years ago
5 0

Answer:56 mph ,42 mph

Explanation:

Given

Distance traveled by john on his way to parents house=648 miles

Let x be the speed during his return trip so during arrival its speed is x+14

Total distance=648+648=1296 miles

Total time=27 hours

distance =speed \times time

27=\frac{648}{x}+\frac{648}{x+14}

27(x+14)(x)=648(2x+14)

x^2-34x-336=0

x=42,-8

-8 is not possible so x=42 mph

arriving rate=42+14=56 mph

Return rate=42 mph

You might be interested in
What is the speed that the Earth orbits the Sun?
iris [78.8K]

Answer:

30 Kilometers per second

4 0
3 years ago
On a day when the temperature reaches 50°F, the temperature in degrees Celsius is: 20°C
anzhelika [568]

Answer:

10°C

Explanation:

To convert °F to °C, we use the formula:

°C =  (°F - 32) * ( 5/9)

So, to convert 50°F to the equivalent  in °C, we can proceed as follows:  

°C = ( 50 - 32 ) * (5/9)  

°C = ( 18 ) *  (5/9), which is, approximately,

°C = 9.999999999... ≈ 10 (5/9 ≈0.555555...)

So, 50°F is equivalent to 10°C.

3 0
3 years ago
The flywheel of a steam engine runs with a constant angular velocity of 140 rev/min. When steam is shut off, the friction of the
ratelena [41]

Answer:

A) α = -1.228 rev/min²

B) 7980 revolutions

C) α_t = -8.57 x 10^(-4) m/s²

D) α = 21.5 m/s²

Explanation:

A) Using first equation of motion, we have;

ω = ω_o + αt

Where,

ω_o is initial angular velocity

α is angular acceleration

t is time the flywheel take to slow down to rest.

We are given, ω_o = 140 rev/min ; t = 1.9 hours = 1.9 x 60 seconds = 114 s ; ω = 0 rev/min

Thus,

0 = 140 + 114α

α = -140/114

α = -1.228 rev/min²

B) the number of revolutions would be given by the equation of motion;

S = (ω_o)t + (1/2)αt²

S = 140(114) - (1/2)(1.228)(114)²

S ≈ 7980 revolutions

C) we want to find tangential component of the velocity with r = 40cm = 0.4m

We will need to convert the angular acceleration to rad/s²

Thus,

α = -1.228 x (2π/60²) = - 0.0021433 rad/s²

Now, formula for tangential acceleration is;

α_t = α x r

α_t = - 0.0021433 x 0.4

α_t = -8.57 x 10^(-4) m/s²

D) we are told that the angular velocity is now 70 rev/min.

Let's convert it to rad/s;

ω = 70 x (2π/60) = 7.33 rad/s

So, radial angular acceleration is;

α_r = ω²r = 7.33² x 0.4

α_r = 21.49 m/s²

Thus, magnitude of total linear acceleration is;

α = √((α_t)² + (α_r)²)

α = √((-8.57 x 10^(-4))² + (21.49)²)

α = √461.82

α = 21.5 m/s²

4 0
3 years ago
Calculate the potential energy of a 4 kg cat crouched 3 meters off the ground
Tom [10]
Gravitational potential energy = mass × gravity × height

Ep = (4)(9.81)(3)

Energy = 117.72 Joules

= 1.2x10^2 Joules
7 0
3 years ago
Read 2 more answers
Peak hydraulic systems demands may be met by the use of what ?
nikklg [1K]
By the use of a Accumulators
8 0
3 years ago
Read 2 more answers
Other questions:
  • To demonstrate the tremendous acceleration of a top fuel drag racer, you attempt to run your car into the back of a dragster tha
    5·1 answer
  • In the home buying process what is the usual function of the realtor
    14·2 answers
  • After Moseley's discovery in 1913, the periodic law stated that physical and chemical properties tend to repeat periodically whe
    6·1 answer
  • 2 examples of balanced forces
    6·1 answer
  • Is it possible for a stationary object to have a single force acting not it? If your answer is yes, provide and example. If your
    10·2 answers
  • A 1400.0 kg car crests a 3200.0 m pass in the mountains and briefly comes to rest. The car descends 1000 m before climbing and c
    9·1 answer
  • Please what are the laws of Isaac Newton for Motion​
    13·1 answer
  • Assume that g is 10 N/kg and that air resistance and other
    14·1 answer
  • 11 points!!! <br>what happened when glucose reacts with air? ​
    10·1 answer
  • orange light has a wavelength, λ, of 6.0 × 10-7 m. in a vacuum, the speed of light, c, is 3.0 × 108 m/s. what is the frequency,
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!