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
Shkiper50 [21]
3 years ago
11

Joe drove at the speed of 45 miles per hour for a certain distance. He then drove at the speed of 55 miles per hour for the same

distance. What is the average speed for the whole trip?
Physics
2 answers:
Oksi-84 [34.3K]3 years ago
8 0

Answer:

47.37 miles per hour,

Explanation:

The average speed is given by the formula

Average speed =(total distance / total time)

Let the distance Joe traveled at a speed of 45 miles per hour be 'D', because he then drove the same distance with a speed of 50 miles per hour then, the total distance is '2D'.

The total time will be the time he drove at a speed of 45 miles per hour (t_{1}) plus the time he drove at a speed of 50 miles per hour (t_{2}).

Then the average speed is :

v_{average} = \frac{2D}{t_{1}+t_{2}}.

Because we know that uniform rectilinear motion is discribed by the ecuation

d=\v*t (where d is distance, v is a constant speed and, t is the time)

we can express both times in terms of speeds and the distance, thus

t_{1} =\frac{D}{v_{1}} and,

t_{2} =\frac{D}{v_{2}}.

So now the average speed v_{average} = \frac{2D}{t_{1}+t_{2}} can be written as follows:

v_{average} = \frac{2D}{(\frac{D}{v_{1}}+\frac{D}{v_{2}} )}

v_{average} = \frac{2D}{D(\frac{1}{v_{1}}+\frac{1}{v_{2}} )}

v_{average} = \frac{2}{(\frac{1}{v_{1}}+\frac{1}{v_{2}} )}

v_{average} = \frac{2}{(\frac{1}{45}+\frac{1}{50} )}

v_{average} = 47.37 miles per hour.

Snowcat [4.5K]3 years ago
5 0

Answer:

v_{avg} = 49.5 mph

Explanation:

Let the distance moved by Joe is "d"

so the time taken by him to drove it by speed 45 mph is given as

t_1 = \frac{d}{v_1}

t_1 = \frac{d}{45}

now the same distance is traveled by him with speed 55 mph

so the time taken by him

t_2 = \frac{d}{55}

so total time taken by him for complete distance 2d

t = t_1 + t_2

t = \frac{d}{45} + \frac{d}{55}

t = 0.0404 d

now the average speed is given as

v_{avg} = \frac{2d}{t}

v_{avg} = \frac{2d}{0.0404d}

v_{avg} = 49.5 mph

You might be interested in
Can power be negative in physics? I am doing a lab in which I run down the stairs as quickly as possible. They are 5.4m tall and
RUDIKE [14]

Answer:

Yes.

Explanation:

A negative power would just represent a loss of power. So in your case it lost -1252.16 W

8 0
3 years ago
1. As a person stands on earth they put a force on the ground and the ground puts a force on them.
Scorpion4ik [409]

Answer:

mb

Explanation:

m b

8 0
2 years ago
B. Projectile on cliff (range)
dimulka [17.4K]

Answer:

x = 41.28 m

Explanation:

This is a projectile launching exercise, let's find the time it takes to get to the base of the cliff.

Let's start by using trigonometry to find the initial velocity

         cos 25 = v₀ₓ / v₀

         sin 25 = Iv_{oy} / v₀

         v₀ₓ = v₀ cos 25

         v_{oy} = v₀ sin 25

         v₀ₓ = 22 cos 25 = 19.94 m / s

         v_{oy} = 22 sin 25 = 0.0192 m / s

let's use movement on the vertical axis

         y = y₀ + v_{oy} t - ½ g t²

     

when reaching the base of the cliff y = 0 and the initial height is y₀ = 21 m

         0 = 21 + 0.0192 t - ½ 9.81 t²

         4.905 t² - 0.0192 t - 21 = 0

         t² - 0.003914 t - 4.2813 =0

we solve the quadratic equation

        t = \frac{ 0.003914\  \pm \sqrt{0.003914^2 + 4 \ 4.2813 }   }{2}

        t = \frac{0.003914 \ \pm 4.13828}{2}

        t₁ = 2.07 s

        t₂ = -2.067 s

since time must be a positive scalar quantity, the correct result is

        t = 2.07 s

now we can look up the distance traveled

         x = v₀ₓ t

         x = 19.94  2.07

         x = 41.28 m

5 0
3 years ago
What does it mean to say the mass is conserved during a physical change ?
Olin [163]
Mater doesn't just appear or disappeared. Chemical elements are still there just the connections and how it combines changes.

So what goes into your chemical eqation must still exist after the change.
4 0
3 years ago
Read 2 more answers
A 100-W lightbulb is placed in a cylinder equipped with a moveable piston. The lightbulb is turned on for 0.010 hour, and the as
Taya2010 [7]

Answer:

w =  - 508.53 joules

q = - 3091.47 joules

Explanation:

Let us convert the time in hours into seconds

0.010* 3600\\= 36

Change in internal energy

\delta E = p * \delta t

where E is the internal energy in Joules

p is the power in watts

and t is the time in seconds

\delta E = - 100 * 36\\

\delta E = - 3600 Joules

Amount of work done by the system

w = - P * \delta V

where P is the pressure and V is the volume

Substituting the given values in above equation, we get -

w = - 1 * ( 5.92 -0.90)\\

w = -5.02 liter-atmospheres

Work done in Joules

- 5.02 * 101.3\\= 508.53Joules

q = \delta E - w\\

Substituting the given values we get -

q = - 3600 - (-508.53)\\q = - 3091.47

Thus

w =  - 508.53 joules

q = - 3091.47 joules

7 0
3 years ago
Other questions:
  • How hot is the sun? First answer gets brainliest. :)
    10·2 answers
  • Is one type of igneous rock that has erupted from volcanoes or seafloor fissures, or freeze at shallow depths. this type of rock
    11·2 answers
  • What are possible formulas for impulse? Check all that apply. J = Ft J = J = Fv J = J = mv J = p
    14·1 answer
  • What is Mach 2 in miles per hour?
    13·1 answer
  • I don't know the answer but I think that it is yes I just don't want to get it wrong
    6·2 answers
  • What color dose red cabbage juice turn when it is mixed with lemon juice
    6·1 answer
  • In which stage of a star's life cycle, does gravity and fusion become balanced, and an adult star forms?
    6·1 answer
  • A bird travels at a speed of 14.2 m/s for 514 meters. How many seconds did it<br> fly?
    10·2 answers
  • A student moves from a region that has short, cool summers and very cold winters to a region that has hot and
    5·2 answers
  • A cross country skier moves 32 m north, then 65 m south, and finally 16 m north. What is the distance? What is the displacement
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!