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
Montano1993 [528]
3 years ago
8

Cheetahs can accelerate to a speed of 19.6 m/s in 2.45 s and can continue to accelerate to reach a top speed of 27.6 m/s . Assum

e the acceleration is constant until the top speed is reached and is zero thereafter. Let the +x direction point in the direction the cheetah runs. Express the cheetah's top speed ????top in miles per hour (mi/h) .
Physics
1 answer:
marta [7]3 years ago
8 0

Answer:

  • v_{top} = 61.96 \frac{mi}{h}

Explanation:

To express the cheetah's top speed in miles per hour, we just need to find the conversion factor.

We know that the top speed is

v_{top} = 27.7 \frac{m}{s}

So, we want to obtain miles from meters and hours from seconds.

<h3>miles from meters</h3>

First we write the equivalence:

1609.34 \ m = 1 \ mi

Now, we can divide by 1609.34 meters on both sides:

\frac{1609.34 \ m}{ 1609.34 \ m} = \frac{1 \ mi}{ 1609.34 \ m}

The left sides equals 1, so

1 = \frac{1 \ mi}{ 1609.34 \ m}

And this is our conversion factor from meters to miles. Now, we can multiply our top speed by this conversion factor, as the conversion factor equals one, and is dimensionless, the physical meaning will be the same.

v_{top} = 27.7 \frac{m}{s} * \frac{1 \ mi}{ 1609.34 \ m}

v_{top} = 27.7 \frac{m}{s} * \frac{1 \ mi}{ 1609.34 \ m}

v_{top} = 0.0172120 \frac{mi}{s}

This is the top speed in miles per second, now, for obtaining miles per hour:

<h3>hours from seconds</h3>

We can do pretty much the same, first, the equivalence:

1 \ h = 3600 \ s

as the seconds are dividing in the velocity, we know divide by 1 hour.

\frac{1 \ h}{ 1 \ h} = \frac{3600 \ s}{ 1 \ h}

1 = \frac{3600 \ s}{ 1 \ h}

and know we just multiply our top speed by this conversion factor

v_{top} = 0.0172120 \frac{mi}{s}  \frac{3600 \ s}{ 1 \ h}

v_{top} = 61.96 \frac{mi}{h}

You might be interested in
A dog runs 60 meters in 6 seconds. What is the average speed?
Ymorist [56]

Answer:

Distance =60m, Time = 6s, Speed = ?

Speed = distance/time

= 60/6

=10m/s

Explanation:

Hope that this is helpful.

Have a nice day.

8 0
3 years ago
A circular horizontal surface having an area of 1020.5 mm2that is completely immersed in a fluid experiences a uniform force of
Bingel [31]

Answer:

Faya vei Abhikesh brass hahahahahaha

Explanation:

3 0
3 years ago
Use the right-hand rule for magnetic force to determine
Sphinxa [80]
The charge on the moving particle
5 0
3 years ago
The main difference between speed and velocity involves
AysviL [449]
Direction. Velocity is a vector that describes both speed and direction, while speed is a scalar that describes only speed regardless of direction.
4 0
3 years ago
A echo occurs when sound does what?
klio [65]
Echoes occur when a reflected soundwave reaches the ear more than 0.1 seconds after the original sound wave was heard. ... There will be an echoinstead of a reverberation. Reflection of sound waves off of surfaces is also affected by the shape of the surface.

(mark as brainly please)
8 0
3 years ago
Read 2 more answers
Other questions:
  • A drag racer crosses the finish line doing 212 mi/h and promptly deploys her drag chute. (A.) what force must the drag chute exe
    9·1 answer
  • List the three ways in which water reaches the atmosphere
    10·1 answer
  • Why is the absolute magnitude of some stars greater than their apparent magnitude
    15·1 answer
  • Caculate the total charge transferred through a wire carrying a current of 0.5 Ameter for a period of 20 seconds.
    5·1 answer
  • A constant voltage of 12.00 V has been observed over a certain time interval across a 1.20 H inductor. The current through the i
    5·1 answer
  • The fact that an object placed in water displaces some of that water known as the "Ripple Effect"
    11·2 answers
  • A 15.0 m long plane is inclined at 30.0 degrees. If the coefficient of friction is 0.426, what force is required to move a 40.0
    13·1 answer
  • The amount of oxygen in the reactants is 4 atoms. In the products, the oxygen is distributed to water (H2O) and O2
    11·2 answers
  • Which of the following is the water cycle process where the extra water that plants release is evaporated from their leaves?
    9·1 answer
  • calculate the mass of air in a room if the floor dimensions are 10m × 12m and height is 400 cm the density of air is 1 .26 kg/M³
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!