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serg [7]
3 years ago
10

A cyclist rides down a long straight road at a velocity​ (in m/min) given by ​v(t)equals400minus20​t, for 0less than or equalstl

ess than or equals10. a. How far does the cyclist travel in the first 6 ​min? b. How far does the cyclist travel in the first 10 ​min? c. How far has the cyclist traveled when his velocity is 290 ​m/min?
Physics
1 answer:
geniusboy [140]3 years ago
6 0

Answer:

a. 2040 m

b. 3000 m

c. 1697.5 m

Explanation:

Given that:

v(t) = 400 - 20t

0 ≤ t ≤ 10

We can get the formula for distance traveled by integrating the velocity, v(t), with respect to time:

=> s(t) = 400t - 10t²

a. First 6 mins:

t = 6 mins

s(t) = 400(6) - 10(6)²

s(t) = 2400 - 360

s(t) = 2040m

b. First 10 mins:

t = 10 mins

s(t) = 400(10) - 10(10)²

s(t) = 4000 - 1000

s(t) = 3000 m

c. When v(t) =290 m/mins

We insert this into the v(t) equation so we can find time t.

v(t) = 400 - 20t

290 = 400 - 20(t)

20t = 400 - 290

20t = 110

t = 110/20 = 5.5 mins

Now we insert that into the s(t) equation:

s(t) = 400(5.5) - 10(5.5)²

s(t) = 2200 - 302.5

s(t) = 1697.5 m

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Answer:

Explanation:

Given:

Steam Mass rate, ms = 1.5 kg/min

= 1.5 kg/min × 1 min/60 sec

= 0.025 kg/s

Air Mass rate, ma = 100 kg/min

= 100 kg/min × 1 min/60 sec

= 1.67 kg/s

A.

Extracting the specific enthalpy and temperature values from property table of “Saturated water – Pressure table” which corresponds to temperature at 0.07 MPa.

xf, quality = 0.9.

Tsat = 89.9°C

hf = 376.57 kJ/kg

hfg = 2283.38 kJ/kg

Using the equation for specific enthalpy,

hi = hf + (hfg × xf)

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= 2431.552 kJ/kg

The specific enthalpy of the outlet, h2 = hf

= 376.57 kJ/kg

B.

Rate of enthalpy (heat exchange), Q = mass rate, ms × change in specific enthalpy

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= 0.025 × (2431.552 - 376.57)

= 0.025 × 2055.042

= 51.37455 kW

= 51.38 kW.

5 0
3 years ago
the car turned a corner going 10m/s if it took two seconds to turn what is its acceleration is this acceleration​
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The acceleration of this car is equal to 5 m/s^2.

<u>Given the following data:</u>

  • Initial velocity = 0 m/s (assuming it's starting from rest).
  • Final velocity = 10 m/s.
  • Time = 2 seconds.

To determine the acceleration of this car:

<h3>How to calculate acceleration.</h3>

In Science, the acceleration of an object is calculated by subtracting the initial velocity from its final velocity and dividing by the time.

Mathematically,  acceleration is given by this formula:

a = \frac{V\;-\;U}{t}

<u>Where:</u>  

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  • U is the initial velocity.
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Substituting the given parameters into the formula, we have;

a = \frac{10\;-\;0}{2}

Acceleration, a = 5 m/s^2

Read more on acceleration here: brainly.com/question/24728358

6 0
1 year ago
Explain how a persons mother and father can both exhibit or show a trait but their children may not exhibit the trait
beks73 [17]
People have dominant and recessive traits. If there are more dominant traits or the recessive trait just was barely there the parents might not show it while their child could show that recessive trait

4 0
3 years ago
A 110-g bullet is fired from a rifle having a barrel 0.636 m long. Choose the origin to be at the location where the bullet begi
astraxan [27]
<span>Data:
mass =  110-g bullet
d = 0.636 m
Force = 13500 + 11000x - 25750x^2, newtons.

a) Work, W

W = ∫( F* )(dx) =∫[13500+ 11000x - 25750x^2] (dx) =

W =  13500x + 5500x^2 - 8583.33 x^3 ] from 0 to 0.636  =

W = 8602.6 joule

b) x= 1.02 m

</span><span><span>W =  13500x + 5500x^2 - 8583.33 x^3 ] from</span> 0 to 1.02

W = 10383.5

c) %

[W in b / W in a] = 10383.5 / 8602.6 = 1.21 => W in b is 21% more than work in a.


</span>
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3 years ago
We use a battery to cause a continuous potential difference by getting charges to separate. Explain why the terminals of a batte
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Answer:

To create an electric potential difference between the ends of the conductor.

Explanation:

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6 0
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