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
Sever21 [200]
3 years ago
9

Mechanics paper/Math (please helpp!!!)

Mathematics
1 answer:
sp2606 [1]3 years ago
4 0

Answer:

  (i) 15 m, 6 m/s

  (ii) 90 m

Step-by-step explanation:

(i) For some acceleration (a) from rest, the distance covered (d) in time t is ...

  d = (1/2)at^2

The distance covered by Ben in the 5 seconds he is accelerating is ...

  d = (1/2)(1.2 m/s²)(5 s)² = 15 m

Of course, Ben's speed at that point is ...

  s = (1.2 m/s²)(5 s) = 6 m/s

__

(ii) When Ben has been walking 5 s, Alan has been walking 10 s, so Alan has covered (10 s)(4 m/s) = 40 m. Their distance difference of 40 -15 = 25 m is being made up at the rate of their speed differences: (6 m/s) -(4 m/s) = 2 m/s.

It will take (25 m)/(2 m/s) = 12.5 s additional time for Ben to catch Alan. In the 22.5 s that Alan has been walking before they meet, he will have walked ...

  (22.5 s)(4 m/s) = 90 m . . . the distance OP

You might be interested in
Choose the expression that represents a cubic expression.
Anna007 [38]

Answer:

10x³ - 6x² - 9x + 12 is a cubic expression ⇒ 2nd

6x + 6 is a linear expression ⇒ 1st

5x² + 9x - 1 is a quadratic expression ⇒ 2nd

Quadratic expression ⇒ 1st

Step-by-step explanation:

* Lets explain the degree of any expression

- The degree of any expression is the greatest power of the variable

- Ex:

# 3x - 3 is a first degree expression

# x² - 3x + 2  is a second degree expression

# 5x³ - 2x² + 5x - 2 is a third degree expression

- The first degree expression is called linear expression

- The second degree expression is called quadratic expression

- The third degree expression is called cubic expression

* Lets solve the problem

∵ The cubic expression is the expression with greatest power of 3

∴ 10x³ - 6x² - 9x + 12 is the cubic expression

∵ The linear expression is the expression with greatest power of 1

∴ 6x + 6 is a linear expression

∵ The quadratic expression is the expression with greatest power of 2

∴ 5x² + 9x - 1 is a quadratic expression

∵ The expression is -2x² + 11

∵ The greatest power of x is 2

∴ -2x² + 11 is a quadratic expression

3 0
3 years ago
Read 2 more answers
Solve the system of equation by elimination. <br> 4x-3y=-21<br> 5x+3y=-6
Lena [83]

Answer:x=-3,y=3

or (-3,3)

Step-by-step explanation:

3 0
3 years ago
Determine whether the triangles are similar. If so, write a similarity<br> statement.
Y_Kistochka [10]

Answer:

yes that are similar

Step-by-step explanation:

because the angles are both 50 degrees

similarity statement:

triangle DEF= triangle JEH

hope that helps bby<3

4 0
3 years ago
These are the values in Ariel’s data set. (1, 67), (3, 88), (5,97), (6, 101), (8, 115) Ariel determines the equation of a linear
notsponge [240]
(3,5)
(1,-3)
(5,1)
(6,-2)
(8,-1)
5 0
3 years ago
Read 2 more answers
Help!!! ASAP how to graph this!!!! Exaplain or graph it n send the pic
ankoles [38]

Answer:

https://www.symbolab.com/graphing-calculator

Step-by-step explanation:

this is a great thing to use

5 0
3 years ago
Other questions:
  • jack is 4 times as old as lacy. 9 years from now the sum of their ages will be 68. how old are they now?
    11·2 answers
  • HELP!! please I can't figure this out​
    11·1 answer
  • Cara earns a base pay of $1800 per month at a car dealership plus a commission of 6%of her sales. What are caras total earnings
    8·1 answer
  • Use the graph below to determine a1 and d for the sequence
    7·1 answer
  • What is the volume of the triangular prism? A) 12 cm3 B) 18 cm3 C) 24 cm3 D) 48 cm3
    6·2 answers
  • If a couple were planning to have three​ children, the sample space summarizing the gender outcomes would​ be: bbb,​ bbg, bgb,​
    7·1 answer
  • 5) 85% of 366.8 is what?<br> A) 431.5 B) 311.8<br> C) 128.1 D) 10146
    14·2 answers
  • PLEASE HELP ME!! DUE IN 10 MINS!! WILL MARK BRAINLYEST!!
    13·1 answer
  • Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2). She checked her work by letting x = 5 in both expressi
    5·1 answer
  • Which of the following is the number if sides a polygon can have to form a regular tessallation?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!