Would this one be correct?(C.)

The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 5t − 9, 0 ≤ t ≤ 3 (a) Find the

Reil [10]

Answer:

a) The displacement is -4.5 m.

b) The traveled distance is 11.7 m.

Explanation:

Hi there!

a)The velocity of the particle is the derivative of the displacement function, x(t):

v(t) = dx/dt = 5t - 9

Separating varibles:

dx = (5t - 9)dt

Integrating both sides from x = x0 to x and from t = 0 to t.

x - x0 = 1/2 · 5t² - 9t

x = 1/2 · 5t² - 9t + x0

If we place the origin of the system of reference at x = x0, the displacement at t = 3 will be x(3):

x(3) = 1/2 · 5 · (3)² - 9(3) + 0

x(3) = -4.5

The displacement at t = 3 s is -4.5 m. It means that the particle is located 4.5 m to the left from the origin of the system of reference at t = 3 s.

b) When the velocity is negative, the particle moves to the left. Let´s find the time at which the velocity is less than zero:

v = 5t - 9

0 > 5t - 9

9/5 > t

1.8 s > t

Then until t = 1.8 s, the particle moves to the left from the origin of the reference system.

Let´s find the position of the particle at that time:

x = 1/2 · 5t² - 9t

x = 1/2 · 5(1.8 s)² - 9(1.8 s)

x = -8.1 m

From t = 0 to t = 1.8 s the traveled distance is 8.1 m. After 1.8 s, the particle has positive velocity. It means that the particle is moving to the right, towards the origin. If at t = 3 the position of the particle is -4.5 m, then the traveled distance from x = -8.1 m to x = -4.5 m is (8.1 m - 4.5 m) 3.6 m.

Then, the total traveled distance is (8.1 m + 3.6 m) 11.7 m.

4 0

3 years ago

1. A group of students were trying to find the greatest

deff fn [24]

Answer:

D th

Explanation:

D B. The force applied to the ball is a balanced force.

8 0

3 years ago

What is NOT a major factor affecting climate?

professor190 [17]

B Longitude

Explanation:

The line of longitude or longitude does not affects climates.

Climate is the weather condition over a place for a long period of time. It usually takes several years to delineate the climate of an area.

Longitude is the distance on the earth surface that runs form east to west.
All lines of longitude are all great circles.
Latitude are lines from north to south on the earth surface. Only the equator is a great circle.
Latitude affects climate. In fact based on the division of lines of latitude on can predict climatic patterns on earth.
Proximity to water bodies also affects climatic condition because of the effect of land and sea breeze and other climatic factors.
Elevation affects climate a whole lot. Physiography of a place determines the weather to a very large extent.

learn more:

Climate brainly.com/question/10856870

#learnwithBrainly

8 0

3 years ago

The diameter of a hydrogen atom is 0.000000000106 m. How can this

Andreas93 [3]

Answer:

The diameter of a hydrogen atom based on scientific notation is 1.06 x 10^-10 m

8 0

3 years ago

A complete circuit contains two parallel connected devices and a generator for providing the electromotive force. The resistance

irga5000 [103]

We are asked to solve and determine the magnitude of the current flowing through the first device. In order for us to have a better understanding of the problem, we can refer to the attached picture which contains electric circuit diagram. Since it the problem we are already given with an electromotive source or the voltage supply and since the two resistance is in parallel, it would clearly mean that the voltage drop in each resistance is just the same. The resistance 1 uses the 40 volts at the same time the resistance 2 uses 40 volts also. Solving further for the current, we can apply Ohm's law which V = IR where "V" represents the voltage, the "I" represents the current and "R" represents the resistance.

Such as the solution in obtaining current is shown below:
I = V / R, substitute values we have it
I = 40 volts / 1208 ohms
I = 0.0331 Amperes

Therefore, the current flowing in the first device is 0.033 Amperes or 33 milliAmperes.

6 0

3 years ago