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
e-lub [12.9K]
2 years ago
14

równanie zmiany prędkość autokaru poruszającego się po prostym odcinku szosy i rozpoczynającego hamowanie od szybkości 20m/s ma

postać v(t)=25-5t. Korzystając z rachunku całkowego wyznacz drogę hamowania autokaru.
Mathematics
1 answer:
Rasek [7]2 years ago
3 0

Answer:

s = 22.5 m

Step-by-step explanation:

the equation for the speed change of a coach moving along a straight section of the road and starting braking at a speed of 20 m / s has the form v (t) = 25-5t. Using integral calculus, determine the coach's braking distance.

v (t) = 25 - 5 t

at t = 0 , v = 20 m/s

Let the distance is s.

s =\int v(t) dt\\\\s =\int (25 - 5t)dt\\\\s= 25 t - 2.5 t^2 \\

Let at t = t, the v = 20

So,

20 = 25 - 5 t

t = 1 s

So, s = 25 x 1 - 2.5 x 1 = 22.5 m

You might be interested in
What is 4 to the power of x minus 3 =18
mote1985 [20]
3 to the power of 4:

=34
x
n
=
3
4

=3⋅3⋅3⋅3
=
3
⋅
3
⋅
3
⋅
3

=81
=
81

For example, 3 to the power of -4:

=3−4
x
n
=
3
−
4

=134
=
1
3
4

=13⋅3⋅3⋅3
=
1
3
⋅
3
⋅
3
⋅
3

=181
=
1
81

=0.012346
7 0
3 years ago
Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor
Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

<u>Solution:</u>

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is \frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }

If they work together they can do the entire prospectus in five hours

\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}

On cross-multiplication we get,

\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}

\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}

On cross multiplication ,we get

\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}

<em><u>using quadratic formula:-</u></em>

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

x=\frac{12 \pm \sqrt{144-40}}{2}

\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

3 0
3 years ago
  2<br>x^-8x+12<br> --------------<br>   2<br>x^-36
inn [45]

\frac{x { }^{2}  - 2x - 6x + 12}{ (x - 6)(x + 6)}  \\  \\  \frac{x(x - 2) - 6(x - 2)}{(x  - 6)(x + 6)}  \\  \\ \frac{(x - 2)(x - 6)}{(x - 6)(x + 6)}  \\  \\  \frac{x - 2}{x + 6}
8 0
3 years ago
Is the product of two mixed numbers less than, between or greater than the two factors?
STatiana [176]
<span>If the two numbers are positive, then since each is greater than 1, the product will be greater than either factor.</span>
8 0
3 years ago
SOLVE FOR X SHOW YOUR WORK PLZ 10x-15=35 X=?
Charra [1.4K]

Answer:

x =5

Step-by-step explanation:

10x-15=35

We want to get x alone

Add 15 to each side

10x-15+15=35+15

10x = 50

Divide by 10

10x/10 = 50/10

x =5

8 0
3 years ago
Read 2 more answers
Other questions:
  • Mandy is building a rectangular garden pond with the area of 12ft^2. The length of pool needs to be 2 ft more than twice the wid
    7·1 answer
  • An aquarium 4 ft long, 1 ft wide, and 2 ft deep is full of water. (give your answers correct to the nearest whole number.)
    15·1 answer
  • Find f(-2) f(x)=9x^2-5x+2
    13·1 answer
  • PLZ HELP I GIVE OUT BRAINIEST EXPLAIN WHY U THINK THAT ANSWER AND TO GET BRAINIEST U HAVE TO GET THE ANSWER RIGHT!
    12·2 answers
  • Find all polar coordinates of point P where P = ordered pair 1 comma pi divided by 3.
    5·2 answers
  • -8(2z - 70)<br> use z = 5 and c = 2
    7·2 answers
  • Which of the following logarithms do not exist?
    13·1 answer
  • Which describes money that is received from a sale of goods or services?
    9·1 answer
  • Angle a and angle b are verticle angles if angel = (2x+26) and angle b = (3x+21) then find rhe measure of angle b
    15·1 answer
  • Sophies mom cans jelly. She fills each jar with 1/2 a pint of jelly. If she made 1 7/10 pints of jelly, which expression can be
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!