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
kow [346]
3 years ago
7

A jet plane has a takeoff speed of vto = 75 m/s and can move along the runway at an average acceleration of 1.3 m/s2. If the len

gth of the runway is 2.5 km, will the plane be able to use this runway safely?

Mathematics
2 answers:
Yuliya22 [10]3 years ago
8 0

If the length of the runway is 2.5 km, then the plane will be able to use this runway safely.

<h3>Further explanation</h3>

These are the formulas that we have to remember before solving the problem.

Speed is the rate of change of distance.

\large { \boxed {v = \frac{d}{t}}}

<em>v = speed ( m/s )</em>

<em>d = distance ( m )</em>

<em>t = time ( s )</em>

Acceleration is the rate of change of velocity.

\large { \boxed {a = \frac{\Delta v}{t}}}

<em>a = acceleration ( m/s² )</em>

<em>Δv = change in speed ( m/s )</em>

<em>t = time ( s )</em>

Let us now tackle the problem!

<u>Given:</u>

Initial speed = u = 0 m/s

Final speed = v = 75 m/s

Average acceleration = a = 1.3 m/s²

<u>Unknown:</u>

Distance = d = ?

<u>Solution:</u>

v ^ 2 = u ^ 2 + 2 a d

75 ^ 2 = 0 ^ 2 + 2 ( 1.3 ) d

5625 = (2.6) d

d = 5625 \div 2.6

d \approx 2200 ~ m

\large {\boxed {d \approx 2.2 ~ km} }

The distance needed by the aircraft from a standstill to reach speeds of 75 m/s is around 2.2 km. The aircraft will be safe using the runway because the length of the runway ( 2.5 km ) is greater than the required distance ( 2.2 km ).

<h3>Learn more</h3>
  • Velocity of A Runner : brainly.com/question/3813437
  • Kinetic Energy : brainly.com/question/692781
  • Acceleration : brainly.com/question/2283922

<h3>Answer details</h3>

Grade: Middle School

Subject: Physics

Chapter: Kinematics

Keywords: Speed , Distance , Acceleration , Time , Velocity , Jet , Plane , TakeOff , Runway

pishuonlain [190]3 years ago
6 0
Initial velocity of the plane is Vo = 0.
acceleration a = 1.3 m/s2
total distance = 2.5 km = 2500m

time taken to reach 2.5 km with 1.3m/s^2 acceleration = t
S = Vo t + 0.5 a t^2
2500 = 0 + (0.5*1.3* t^2)
t^2 = 3846.15
t = 62 s

the maximum velocity plan can reach within 62 s is Vt
Vt = Vo + a t
Vt = 0 + (1.3*62)
Vt = 80.6 m/s

Since 80.6 m/s is greater than 75 m/s, plane can use this runway to takeoff with required speed.
You might be interested in
choose the answer that best represents the situation described below liza is buying a new bicycle weighs the more expensive it w
neonofarm [45]

what are your options ?


6 0
3 years ago
Limit definition for slope of the graph, equation of tangent line point for<br> f(x)=2x^2 at x=(-1)
Tems11 [23]

The slope of the tangent line to f at x=-1 is given by the derivative of f at that point:

f'(-1)=\displaystyle\lim_{x\to-1}\frac{f(x)-f(-1)}{x-(-1)}=\lim_{x\to-1}\frac{2x^2-2}{x+1}

Factorize the numerator:

2x^2-2=2(x^2-1)=2(x-1)(x+1)

We have x approaching -1; in particular, this means x\neq-1, so that

\dfrac{2x^2-2}{x+1}=\dfrac{2(x-1)(x+1)}{x+1}=2(x-1)

Then

f'(-1)=\displaystyle\lim_{x\to-1}\frac{2x^2-2}{x+1}=\lim_{x\to-1}2(x-1)=2(-1-1)=-4

and the tangent line's equation is

y-f(-1)=f'(-1)(x-(-1))\implies y-4x-2

6 0
2 years ago
H(x) = -3(x²)<br><br><br> describe the transformation
Shkiper50 [21]

Answer:

The parent function is the simplest form of the type of function given.

g

(

x

)

=

x

2

The transformation being described is from  

g

(

x

)

=

x

2

to  

h

(

x

)

=

−

3

x

2

.

g

(

x

)

=

x

2

→

h

(

x

)

=

−

3

x

2

The horizontal shift depends on the value of  

h

. The horizontal shift is described as:

h

(

x

)

=

f

(

x

+

h

)

- The graph is shifted to the left  

h

units.

h

(

x

)

=

f

(

x

−

h

)

- The graph is shifted to the right  

h

units.

In this case,  

h

=

0

which means that the graph is not shifted to the left or right.

Horizontal Shift: None

The vertical shift depends on the value of  

k

. The vertical shift is described as:

h

(

x

)

=

f

(

x

)

+

k

- The graph is shifted up  

k

units.

h

(

x

)

=

f

(

x

)

−

k

- The graph is shifted down  

k

units.

In this case,  

k

=

0

which means that the graph is not shifted up or down.

Vertical Shift: None

The graph is reflected about the x-axis when  

h

(

x

)

=

−

f

(

x

)

.

Reflection about the x-axis: Reflected

The graph is reflected about the y-axis when  

h

(

x

)

=

f

(

−

x

)

.

Reflection about the y-axis: None

Compressing and stretching depends on the value of  

a

.

When  

a

is greater than  

1

: Vertically stretched

When  

a

is between  

0

and  

1

: Vertically compressed

Vertical Compression or Stretch: Stretched

Compare and list the transformations.

Parent Function:  

g

(

x

)

=

x

2

Horizontal Shift: None

Vertical Shift: None

Reflection about the x-axis: Reflected

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

image of graph

The parent function is the simplest form of the type of function given.

g

(

x

)

=

x

2

The transformation being described is from  

g

(

x

)

=

x

2

to  

h

(

x

)

=

−

3

x

2

.

g

(

x

)

=

x

2

→

h

(

x

)

=

−

3

x

2

The horizontal shift depends on the value of  

h

. The horizontal shift is described as:

h

(

x

)

=

f

(

x

+

h

)

- The graph is shifted to the left  

h

units.

h

(

x

)

=

f

(

x

−

h

)

- The graph is shifted to the right  

h

units.

In this case,  

h

=

0

which means that the graph is not shifted to the left or right.

Horizontal Shift: None

The vertical shift depends on the value of  

k

. The vertical shift is described as:

h

(

x

)

=

f

(

x

)

+

k

- The graph is shifted up  

k

units.

h

(

x

)

=

f

(

x

)

−

k

- The graph is shifted down  

k

units.

In this case,  

k

=

0

which means that the graph is not shifted up or down.

Vertical Shift: None

The graph is reflected about the x-axis when  

h

(

x

)

=

−

f

(

x

)

.

Reflection about the x-axis: Reflected

The graph is reflected about the y-axis when  

h

(

x

)

=

f

(

−

x

)

.

Reflection about the y-axis: None

Compressing and stretching depends on the value of  

a

.

When  

a

is greater than  

1

: Vertically stretched

When  

a

is between  

0

and  

1

: Vertically compressed

Vertical Compression or Stretch: Stretched

Compare and list the transformations.

Parent Function:  

g

(

x

)

=

x

2

Horizontal Shift: None

Vertical Shift: None

Reflection about the x-axis: Reflected

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

image of graph

Step-by-step explanation:

8 0
3 years ago
PLZZZ HELP!!!!!!!!!1
klemol [59]

Answer:

i cant put the picture

Step-by-step explanation:

d. Median=33;Q1=25 the median is represented by the line in between the two boxes. Q1 is represented by the line on the far left of the box in the picture Q1 is marked for quadrent 1 and m is for median

4 0
2 years ago
Solve for x. plz need help​
IgorC [24]

Answer:

d

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Walter is 43 years old his daughter Paulette is 7. In how many years will Paulette be one-third of Walters age
    10·1 answer
  • Could someone please help
    10·2 answers
  • HELP PLEASE
    14·2 answers
  • An umbrella has 8 ribs which are equally spaced (see fig.). Assuming umbrellato
    6·1 answer
  • Isosceles triangle ABC has a perimeter of 96 centimertes the base of triangle AC and the mesurments at 24 centimeters. what is t
    12·1 answer
  • HELP DUE RIGHT NOW!!
    6·2 answers
  • A store and a bank would both charge fees for _____.
    9·1 answer
  • Ben rolls two number cubes. What is the probability that the sum of the numbers he rolls is less than 6
    10·1 answer
  • Someone please help me, I’m begging! I will brainliest and everything!! 20 (points) too
    11·1 answer
  • Help please I will give brainliest
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!