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
blsea [12.9K]
3 years ago
14

At the instant shown car A is travelling with a velocity of 24 m/s and which is decreasing at 4 m/s2 along the highway. At the s

ame instant B is travelling on the trumpet interchange curve with a speed of 20 m/s, which is decreasing at 5 m/s2. Determine the relative velocity and relative acceleration of A with respect to B at this instant.

Engineering
1 answer:
SVEN [57.7K]3 years ago
3 0

(a) V(A/B) = (14 i - 17.32 J) m/s

(b) acc(A/B) = ( 5.11 i + 5.13 j ) m/s²

<u>Explanation:</u>

We will solve with respect to Cartesian vector form.

So,

V(A)= (24i) m/s

acc(A) = (4i) m/s²

There are two components of Car B, cos 60⁰ and sin 60⁰

V(B) = 20 cos 60° i + 20 sin 60° j

V(B) = (10 i + 17.32 j ) m/s

The car B moves along a curve, so it will have a tangential acceleration and a normal acceleration.

The tangential acceleration, a(t) = 5 m/s²

Normal acceleration, a(n) = \frac{v^2}{p} \\\\

So,

a(n) = \frac{(20)^2}{250}\\ \\a(n) = 1.6 m/s^2

For the tangential acceleration, the acceleration is slowing down. So,

a(t) = (-5 cos 60° i - 5 sin 60° j ) m/s²

a(t) = ( -2.5 i - 4.33 j) m/s²

For normal acceleration, it towards center. So,

a(n) = (1.6 sin 60° i - 1.6 cos 60° j) m/s²

a(n) = (1.39 i - 0.8 j ) m/s²

Total acceleration of Car B:

acc(B) = a(t) + a(n)

acc(B) = ( -2.5 i - 4.33 j) m/s² + (1.39 i - 0.8 j ) m/s²

acc(B) = (-1.11i - 5.13 j ) m/s²

(a) V(A/B) = ?

V(A) = V(B) + V(A/B)

(24i) m/s = (10 i + 17.32 j ) m/s + V(A/B)

V(A/B) = (14 i - 17.32 J) m/s

(b) acc(A/B) = ?

acc(A) = acc(B) + acc(A/B)

(4i) m/s² = (-1.11i - 5.13 j ) m/s² + acc(A/B)

acc(A/B) = ( 5.11 i + 5.13 j ) m/s²

You might be interested in
What is a smooth flow of air over a surface is called?
pochemuha

Answer:

laminar flow

Explanation:

In fluid dynamics, laminar flow is characterized by fluid particles following smooth paths in layers, with each layer moving smoothly past the adjacent layers with little or no mixing.

4 0
3 years ago
Answer true or false 3.Individual people decide what will be produced in a command<br> oconomy
Pie

Answer:

False

Explanation:

The government decides the productions.

7 0
3 years ago
Read 2 more answers
How should you move your board through the planer? (Pick two choices.)
iragen [17]

Answer:

I would say do it at an even pace

Explanation:

Doing it a slow pace takes time quickly will probably not to good gor you and doing it at an irregular pace is just way to fast

4 0
3 years ago
Create a series of eight successive displacements that would program a robot to move in an octagonal path that is as close as yo
Komok [63]

Answer:

bts biot bts biot jungkukkk

jungkukkkbiot

Explanation:

bts biot bts biot jungkukkk

jungkukkkbiot

5 0
3 years ago
Your boss needs to recommend either the in-situ soil or the borrow material. Although you do not have much background on soil be
Andrej [43]

Answer: see attached file for the answer

7 0
3 years ago
Other questions:
  • Line.
    9·1 answer
  • What is pixel's intensity ?​
    8·1 answer
  • Explain the differences between planned and predictive maintenance.
    12·1 answer
  • Steam at 150 bars and 600°C passes through process equipment and emerges at 100 bars and 700°C. There is no flow of work into or
    8·1 answer
  • One kilogram of water contained in a piston–cylinder assembly, initially saturated vapor at 460 kPa, is condensed at constant pr
    15·1 answer
  • Hiiiiiiiii<br> jhajwjne f f g. g g tnnjzjnsnsnend f najjwne d f nskiaksjsjsjksm
    5·1 answer
  • Is EPA is the organization that was formed to ensure safe and health working conditions for workers by setting and enforcing sta
    15·1 answer
  • How to update android 4.4.2 to 5.1 if there isnt any update available​
    15·2 answers
  • Does anyone know obamas last name???? please help its for a friend I swear!!!111!!11!
    8·1 answer
  • A 20cm-long rod with a diameter of 0.250 cm is loaded with a 5000 N weight. If the diameter of the bar is 0.490 at this load, de
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!