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
LuckyWell [14K]
3 years ago
5

The total stopping distance T for a vehicle is T = 2.5x + 0.5x 2 , where T is in feet and x is the speed in miles per hour. Appr

oximate the change in total stopping distance as speed changes from x = 25 to x = 26 miles per hour.
Mathematics
1 answer:
Kobotan [32]3 years ago
6 0

Answer:

%  change in stopping distance = 7.34 %

Step-by-step explanation:

The stooping distance is given by

T = 2.5 x + 0.5 x^{2}

We will approximate this distance  using the relation

f (x + dx) = f (x)+ f' (x)dx

dx = 26 - 25 = 1

T' =  2.5 + x

Therefore

f(x)+f'(x)dx = 2.5x+ 0.5x^{2} + 2.5 +x

This is the stopping distance at x = 25

Put x = 25 in above equation

2.5 × (25) + 0.5× 25^{2} + 2.5 + 25 = 402.5 ft

Stopping distance at x = 25

T(25) = 2.5 × (25) + 0.5 × 25^{2}

T(25) = 375 ft

Therefore approximate change in stopping distance = 402.5 - 375 = 27.5 ft

%  change in stopping distance = \frac{27.5}{375} × 100

%  change in stopping distance = 7.34 %

You might be interested in
For anyone who needs a couple extra points
ratelena [41]
The answer is 2 bro how do you not know
8 0
3 years ago
How far is the point (8,6) from the origin​
Varvara68 [4.7K]
The answer is 14 away
7 0
3 years ago
Write an expression for the calculation 84 divided into sevenths added to 9 divided into thirds
BlackZzzverrR [31]
84 is divided into 7        84/7 =12

and it is added to 

9 divided into 3    9/3 =3

12+3=15
8 0
3 years ago
Read 2 more answers
How far will a train travel in 5hours if it travels at 80ml per hour
Aleks [24]

Answer:

If the ml means miles than its 400

Step-by-step explanation:

3 0
3 years ago
Translate this phrase into an algebraic expression.<br> The sum of 26 and twice a number
nevsk [136]

Answer:

Step-by-step explanation:

26×N

4 0
3 years ago
Other questions:
  • Helpppp failingggg mathhh
    5·1 answer
  • Jerry is saving money for a job. After the first 3 weeks he saved $135. Assuming the situation is proportional. Use the unit Rae
    7·1 answer
  • Sam's test scores increase proportionally by 5 points for each hour she spends studying. How many points would her score increas
    10·2 answers
  • 1. Explain the similarities and differences between the graphs of y = 5x and y = 3x. Include domain, range, intervals of increas
    9·1 answer
  • What is 2 copies of 1/6
    12·1 answer
  • Please help me find the correct answer.
    9·1 answer
  • A new one-year membership at RecPlex costs $160. A registration fee of $28 is paid up front, and the rest is paid monthly. How m
    9·2 answers
  • What number line can be used to find the distance between (4, -1) and (8, -1)
    13·1 answer
  • Whst is 900 plus 59 please i need help i give u good points
    8·2 answers
  • P
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!