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
hjlf
3 years ago
11

It takes 15 min to drive 6.0 mi in a straight line to the local hospital. It takes 10 min to go the last 3.0 mi, 2.0 min to go t

he last mile, and only 30 s (0.50 min) to go the last 0.50 mi. What is the average speed of the trip? Take the positive xx ‑direction to be from the starting point toward the hospital.
Physics
1 answer:
Gala2k [10]3 years ago
6 0

Answer:

36.87 km/h

Explanation:

Convert all the units in SI system

1 mile = 1609.34 m

d1 = 6 mi = 9656.04 m

t1 = 15 min = 15 x 60 = 900 s

d2 = 3 mi = 4828.02 m

t2 = 10 min = 10 x 60 = 600 s

d3 = 1 mi = 1609.34 m

t3 = 2 min = 2 x 60 = 120 s

d4 = 0.5 mi = 804.67 m

t4 = 0.5 min = 0.5 x 60 = 30 s

Total distance, d = d1 + d2 + d3 + d4

d = 9656.04 + 4828.02 +  1609.34 + 804.67 = 16898.07 m = 16.898 km

total time, t = t1 + t2 + t3 + t4

t = 900 + 600 + 120 + 30 = 1650 s = 0.4583 h

The ratio of the total distance covered to the total time taken is called average speed.

Average speed = 16.898 / 0.4583 = 36.87 km/h

You might be interested in
What particle is NOT located in the nucleus? A.proton B.electron C.neutron D.quark
baherus [9]
I think it is electron. Electrons are located outside of the nucleus
5 0
3 years ago
Ceres is a dwarf planet located in the main asteroid belt.
Pie
Yes that is correct, it <span>lies between the orbits of Mars and Jupiter and is the largest in the belt.

</span>
5 0
3 years ago
Một xe máy đang đi với v = 50,4 km/h bỗng người lái xe thấy có ổ gà trước mắt cách xe 24,5 m.Người ấy phanh gấp và xe đến ổ gà t
Finger [1]

Answer:

<h3>эмне, кечиресиз айым, бирок мен сиздин тилиңизди түшүнбөй</h3>
3 0
3 years ago
Children between the ages of 6 to 11 are within the developmental stage referred to as.... Middle childhood early childhood adol
tensa zangetsu [6.8K]

Answer:

Middle childhood

Explanation:

<em>Middle childhood happens around ages 6 to 12,</em> is a stage in the human development characterized by the steady rate of physical growth of the individual in contrast with the fast rate of emotional, cognitive and emotional development that will prepare them for future stages (adolescence and adulthood).

I hope you find this information useful and interesting! Good luck!

4 0
3 years ago
Water is falling on a surface, wetting a circular area that is expanding at a rate of 4 mm2 /s. How fast is the radius of the we
STALIN [3.7K]

Answer:

The radius of the wetter area expands at a rate of 4.244\times 10^{-3} milimeters per second when radius is 150 milimeters.

Explanation:

From Geometry we remember that area of a circle is described by this expression:

A =\pi\cdot r^{2} (Eq. 1)

Where:

r - Radius of the circle, measured in milimeters.

A - Area of the circle, measured in square milimeters.

Then, the rate of change of the area in time is derived by concept of rate of change, that is:

\frac{dA}{dt} = 2\pi\cdot r\cdot \frac{dr}{dt} (Eq. 2)

Where:

\frac{dr}{dt} - Rate of change of radius in time, measured in milimeters per second.

\frac{dA}{dt} - Rate of change of area in time, measured in square milimeters per second.

Now the rate of change of radius in time is cleared within equation above:

\frac{dr}{dt} = \left(\frac{1}{2\pi\cdot r}\right)\cdot \frac{dA}{dt}

If we know that r = 150\,mm and \frac{dA}{dt} = 4\,\frac{mm^{2}}{s}, then the rate of change of radius in time is:

\frac{dr}{dt} = \left[\frac{1}{2\pi\cdot (150\,m)} \right] \cdot \left(4\,\frac{mm^{2}}{s} \right)

\frac{dr}{dt}\approx 4.244\times 10^{-3}\,\frac{mm}{s}

The radius of the wetter area expands at a rate of 4.244\times 10^{-3} milimeters per second when radius is 150 milimeters.

7 0
3 years ago
Other questions:
  • According to meet one law of universal gravitation, gravity increases when?​
    5·1 answer
  • If a lens has a power of -14.50, what is the focal length in mm?
    8·1 answer
  • During a demolition derby, vehicle 1 collided vehicle 2 going in the opposite direction and came to an immediate stop. If the ve
    12·1 answer
  • When it is necessary to switch on an electrical current from a remote location, which devices could be used?
    13·2 answers
  • Heat always flows from a _________ object to a __________ one.
    5·2 answers
  • Cindy runs 2 kilometers every morning. She takes 2 minutes for the first 250 meters, 4 minutes for the next 1,000 meters, 1 minu
    12·2 answers
  • A fan cart initially has an acceleration of 1.6m/s/s when it's fan is directed straight backwards. If you rotate the fan by 45°,
    6·1 answer
  • Which resource would be the best choice to learn more information about studying martial arts?
    10·1 answer
  • A 5- kg object experiences forces as shown in the diagram. Which statement best describes the motion of the object
    11·1 answer
  • Which group of words do you think is an idiom?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!