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
gregori [183]
3 years ago
15

A second particle, Q, also moves along the x-axis so that its velocity for 0 £ £t 4 is given by Q t cos 0.063 ( ) t 2 v t( ) = 4

5 meters per hour. Find the time interval during which the velocity of particle Q is at least 60 meters per hour. Find the distance traveled by particle Q during the interval when the velocity of particle Q is at least 60 meters per hour.

Mathematics
1 answer:
Vladimir79 [104]3 years ago
4 0

Answer:

The time interval when V_Q(t) \geq 60  is at  1.866 \leq t \leq 3.519

The distance is 106.109 m

Step-by-step explanation:

The velocity of the second particle Q moving along the x-axis is :

V_{Q}(t)=45\sqrt{t} cos(0.063 \ t^2)

So ; the objective here is to find the time interval and the distance traveled by particle Q during the time interval.

We are also to that :

V_Q(t) \geq 60    between   0 \leq t \leq 4

The schematic free body graphical representation of the above illustration was attached in the file below and the point when V_Q(t) \geq 60  is at 4 is obtained in the parabolic curve.

So, V_Q(t) \geq 60  is at  1.866 \leq t \leq 3.519

Taking the integral of the time interval in order to determine the distance; we have:

distance = \int\limits^{3.519}_{1.866} {V_Q(t)} \, dt

= \int\limits^{3.519}_{1.866} {45\sqrt{t} cos(0.063 \ t^2)} \, dt

= By using the Scientific calculator notation;

distance = 106.109 m

You might be interested in
What is the constant of proportionality in the equation y=12.9x?<br> Enter your answer as a decimal
forsale [732]

Answer:

The constant of proportionality would just be 12.9.

Step-by-step explanation:

This equation is already simplified enough to were the constant of proportionality is just the number attached to the x.

3 0
3 years ago
A rectangular window has a length of 81.47 cm and a width of 34.2 cm. What is the least precise measurement of the perimeter of
alexgriva [62]

Answer:

In our case the least precise is the one with no decimal units, in our case 231 cm

Step-by-step explanation:

Perimeter=2(L+w)

where;

L=length=81.47 cm

W=width=34.2 cm

Replacing;

Perimeter=2(81.47+34.2)=231.34 cm

The most precise is the one with the highest decimal units, for example 231.34 in our case the least precise is the one with no decimal units, in our case 231

8 0
3 years ago
The expression (x − 4)2 is equivalent to x2 − 16 x2 + 16 x2 − 8x + 16 x2 + 8x + 16
zzz [600]

Answer:

Given below

Step-by-step explanation:

The algebraic identity is (a-b)^2

= a^2 + b^2 - 2ab

So it'll be,

(x-4)^2

= x^2 + (4)^2 - (2)(x)(4)

= x^2 -8x + 16

or x^2 +16 -8x

4 0
3 years ago
Write and solve a system of equations that represents each situation. Interpret the solution. 
ValentinkaMS [17]
X - $5 bills
y - $10 bills

x + y = 12
y = 5x

x + (5x) = 12
6x = 12
x = 2

y = 5(2)
y = 10

10 $10 bills and 2 $5 bills
6 0
3 years ago
Read 2 more answers
Pls answer more points​
Lesechka [4]

Answer:

We know, if we multiply a number x by its multiplicative inverse, the result is 1. So, 0.3 is the multiplicative inverse of 313.

7 0
2 years ago
Read 2 more answers
Other questions:
  • The line plot below shows the weights of ten eggs laid by one hen. What is the total weight, in ounces, of the four heaviest egg
    13·1 answer
  • of the 30 girls who tried out lacrosse team at Euclid Middle school, 12 were selected. Of the boys who tried out, 16 were select
    6·1 answer
  • Evaluate n+2x2 when n=3 and x=−2.
    9·1 answer
  • In a manufacturing process that laminates several ceramic layers, 1% of the assembles are defective. Assume that the assemblies
    5·1 answer
  • In a village, the cases of a particular infectious
    6·1 answer
  • -3(12 - m) = -1(m - 8)
    5·1 answer
  • What is the volume of a cylinder if the radius is 3.2 centimeters and the height is 5 centimeters
    15·1 answer
  • Graph: - 4x + 4y &gt; 20 &amp; 4x + 4y &lt; -12<br>please help !!!!!<br>​
    9·1 answer
  • How is a rate simile do different from a ratio?
    9·1 answer
  • 4. Marcus invested $4280 in a savings account that compounds interest monthly
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!