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
Hazel has an assortment of red, blue, and green balls. The number of red balls is 2/3 the number of blue balls. The number of gr
Korvikt [17]
It would have one solution since you know the total number of balls
3 0
3 years ago
Read 2 more answers
Which is greater three sets of (5-2) or two sets of (2+3)
My name is Ann [436]
Two sets of (2+3) because that is 5 times 2 which is ten. The other is 3 times three which is 9

7 0
2 years ago
Read 2 more answers
Identify equations from visual models (hanger
telo118 [61]

Answer: 3p=1/2

Just do it right now

8 0
3 years ago
In a library, there are 12 books in each of the 4 shelves but then Jamie takes away 3 books. Choose the correct expression and e
Nonamiya [84]

Answer:

I think Thts the answer

Step-by-step explanation:

(12x4)-3

3 0
2 years ago
Mr.Riley grows four different crops on his 300-acre farm. Each acre has the same number of plants. Corn=35% Wheat=25% Cotton=20%
MA_775_DIABLO [31]
A. Other crops: 35+25+20=80%
Beans: 100-80=20%

B. 300 acres×20%
=60 acres of cotton

C. Corn: 300×35%= 105 acres
Wheat: 300×25%= 75 acres
105-75= 30 more acres of corn than wheat

D. Yes, he is correct.
Corn fields+bean fields
35%+20%= 55%

3 0
3 years ago
Other questions:
  • Which expressions show the expanded form for 17.601? Choose all answers that are correct.
    12·2 answers
  • I need help with both
    13·2 answers
  • If the radius of the circle is 9 cm, what is the area of sector AOB
    7·1 answer
  • Help???????????????????????????????????????????????????
    13·1 answer
  • What is the resistance in a circuit when the current is 0.5 ampere? Ohms​
    15·1 answer
  • A circle has a central angle measuring StartFraction 7 pi Over 10 EndFraction radians that intersects an arc of length 33 cm. Wh
    12·2 answers
  • What is the slope of (0,-1) and (5,-5)
    7·2 answers
  • Which of the following ratlos is not equivalent to 6:10?
    15·1 answer
  • Use the correct order of operations to evaluate the following expression:(5+4).5+3.3
    14·1 answer
  • Please help me i'm not sure of this question i've bin on it for a while now.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!