# Which of the position versus time graphs below matches the following description: a speed versus time graph has a horizontal line at 5 m/s from zero to five seconds?

2 weeks ago

## Solution 1

Guest #7252923
2 weeks ago

The position versus time graph that matches the description: a speed versus time graph has a horizontal line at 5 m/s from zero to five seconds is Graph A; The correct option is A.

### What is a  position versus time graph?

A  position versus time graph is a graph that plots the position of an object against the time it takes for the object to move from one point to another.

The slope of a position versus time graph represents the speed or velocity of the object.

The slope of a position time graph = distance or position/time

A speed versus time graph is a graph that plots the speed of an object against the time it takes for the object to move to that speed.

The slope of a position versus time graph represents the acceleration of the object.

Considering the given speed versus time graphs:

Graph A: the speed versus time graph has a horizontal line at 5 m/s from zero to five seconds.

Graph B: the speed versus time graph shows variation is speed over time

Graph C: the speed versus time graph shows a constant increase in speed over time

Graph D; the speed versus time graph shows a constant decrease in speed over time

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## 📚 Related Questions

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6. Mikey can kick the ball to Sage with a force of 20 N, making it travel 60m. Give the work done on the ball.
Solution 1

Explanation:

Given:

F =20 N

D = 60 m

________

W - ?

W = F·D = 20·60 = 1 200 J

Question

.
A 2155 kg demolition ball swings at the end of a 17.5m cable on the arc of a vertical
circle. At the lowest point of the swing, the ball is moving at 8.6m/s. Determine the
tension in the cable at the lowest point. (Hint: T-mg =mv^2/r)
Solution 1

T = F + P = 9 108 + 21 120 ≈ 30 230 N

Explanation:

Given:

m = 2155 kg

R = 17.5 m

V = 8.6 m/s

g = 9.8 m/s²

_______________

T - ?

Modulus of centripetal force (force is directed towards the center of the circular arc):

$$F = \frac{m\cdot V^2}{R} = \frac{2155\cdot 8.6^2}{17.5} = 9108 N$$

Ball weight (directed vertically down):

W = m·g = 2155·9.8 ≈ 21 120 N

Let's use the hint. Thread tension:

T = F + W = 9 108 + 21 120 ≈ 30 230 N

Solution 2

The tension in the cable at the lowest point of the swing is $$30248.196 N$$.

To determine the tension in the cable at the lowest point of the swing, we can use the hint provided:

$$T-mg=\frac{mv^{2}}{r}$$

where T represents tension,

m is the mass of the demolition ball (2155 kg),

g is the acceleration due to gravity (approximately 9.8 m/s^2),

v is the velocity of the ball (8.6 m/s), and

r is the radius of the circular path (17.5 m).

Plugging in the given values, we have:

$$T-2155\times 9.81=\frac{2155\times 8.6^{2}}{17.5}$$

$$T=30248.196 N$$

Therefore, the tension in the cable at the lowest point of the swing is approximately $$30248.196 N$$.

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Question
Baseballs aren’t especially bouncy. A baseball fired at 20 m/s
at a solid wall rebounds at 11 m/s. What fraction of the initial kinetic energy is transformed into thermal energy?
Solution 1

The fraction of the initial kinetic energy is transformed into thermal energy is 3/4.

### What fraction of the initial kinetic energy is transformed into thermal energy?

The fraction of the initial kinetic energy is transformed into thermal energy is calculated by applying the principle of conservation of energy as shown below.

Mathematically, this is given as;

ΔK.E = E

where;

• ΔK.E is the change in kinetic energy
• E is the thermal energy

E = K.Ef - K.Ei

where;

• K.Ef is the final kinetic energy
• K.Ei is the initial kinetic energy

E = (¹/₂mu² - ¹/₂mv²) / (¹/₂mu²)

where;

• m is the mass of the baseball
• v is the final velocity of the baseball
• u is the initial velocity of the baseball

E = (u² - v²) / (u²)

E = (20² - 10²) / (20²)

E = 0.75 = 3/4

Thus, the fraction of the initial kinetic energy is transformed into thermal energy is a function of the change in speed of the baseball.

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Question
Polaris is also called the North Star because Earth's North
Pole points toward it. As Earth rotates, other stars seem to
spin around Polaris in a counterclockwise direction. In one.
day, the stars will make one complete circle (360°) around
Polaris. Compare the positions of the constellations in the
two diagrams. Calculate how many hours have passed
between the first and second diagrams.
Solution 1

Explanation:.............

Question
what is the acceleration of a 38 kg crate being pushed horizontally by an 83 N force?
Solution 1

The magnitude of acceleration of the crate be 7.14 m/s².

### What is acceleration?

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Mass of the create be: m = 38kg.

Force applied on the create : F = 83N.

From Newton's second law of motion, we can write:

force = mass × acceleration

acceleration = force/mass = 38/83m/s² = 0.45 m/s².

Hence, acceleration of the create be 0.45 m/s².

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Question
Using the right hand rule, what do the three numbered vectors represent in the diagram below?
Solution 1
Using the right-hand rule, the correct answer is:

A) Magnetic field

B) Electric current

C) Force

The equation corresponding to this graphical representation is

F = IBL

where I is the current, B the magnetic field, L the length of the wire and F the magnetic force.
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You measure the period of a pendulum and get 25s. What is the length of the pendulum?
Solution 1

Explanation:

T = 25 s

25 = 2*pi*sqrt(L/9.8)

L = 155.14 m

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A pendulum has a length of 1m. What is the period of this pendulum? What is the frequency of this pendulum?
Solution 1

The period and frequency of the pendulum are equal to 2 sec and 0.5 Hz.

### What is a simple pendulum?

A simple pendulum can be defined as a mechanical arrangement that possesses periodic motion. The simple pendulum is made of a bob having mass suspended by a thin string hung at its upper end of the length.

The simple pendulum moves freely back and forth in an oscillatory motion and the motion of the pendulum occurs in a vertical plane which is operated by the gravitational force.

The relationship between the time period and length of the pendulum is given by:

T = 2π√(L/g)

Where 'g' is the acceleration due to gravity  and  'L' is the length of the pendulum.

T = 1/f     where is the frequency of the pendulum.

Given, the length of a pendulum,  L = 1 m

Then the period of the pendulum can be calculated as:

$$T = 2\times 3.14 \sqrt{\frac{1}{9.8} }$$

T = 2 s

The frequency of the pendulum, f = 1/T = 1/2 = 0.5 Hz

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Question
please someone help its due soon
Solution 1

it would be 80 would it not

Explanation:

The 40 is just the angle to the normal ray. just multiply it by two giving you 80

Question
An object is accelerated 1.25 m/s2. What is the mass if the net force is 60 N?
PLS HELPPPPPPPPPPPP
Solution 1

The mass of the object is equal to 48 Kg if the net force is 60 N.

### What is acceleration?

Acceleration can be defined as the rate at which the object changes its velocity with respect to time. The acceleration is a vector parameter and can be expressed as the second derivative of position w.r.t. time.

The force acting is equal to the multiplication of the mass and acceleration according to Newton's second law of motion.

F = ma

And, a = F/m

Given, the net force acting on an object, F = 60 N

The object is accelerating at a rate, a = 1.25 m/s²

The mass of the object can be calculated by using the given information:

m = F/a

m = 60/1.25

m = 48 Kg

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