All categories

3 years ago

How can you determine an object's average velocity from a position time graph

Physics

1 answer:

viktelen [127]3 years ago

4 0

The average velocity can be calculated from the slope of the graph

Explanation:

In a position-time graph, the position is represented on the y-axis while the time is represented on the x-axis.

The slope of the graph is given by:

$m=\frac{\Delta y}{\Delta x}$

where

$\Delta y$ is the change in the y-variable

$\Delta x$ is the change in the x-variable

However, we have:

$\Delta y$ corresponds to the change in position, therefore it is the displacement
$\Delta x$ corresponds to the change in time

This means that the slope can be rewritten as

$m=\frac{displacement}{time}$

However, this ratio corresponds to the definition of average velocity:

$velocity = \frac{displacement}{time}$

Therefore, the slope of a position-time graph gives the average velocity.

Learn more about velocity:

brainly.com/question/8893949

brainly.com/question/5063905

#LearnwithBrainly

You might be interested in

Ancient species found in just one region, whose close relatives have all gone extinct, are designated __________.

Molodets [167]

Ancient species living in earth with all its close relatives dead are called living fossils.

<h3><u>Explanation:</u></h3>

Living fossils are interesting as well important creations of nature. Let's take an example of a plant <em>Ginkgo biloba</em>. Its a plant of gymnosperm family along with pine and fir, but belongs to the order Ginkgoales. In this order, Gingko biloba is the only plant that's alive till now, all the other species are dead.

Living fossils give us important informations about the adaptation that used to prevail in earth that lead to survival of species in contemporary times. It also establishes relationships between the two or more phyla of organisms in a taxonomic way.

Animal living fossils are lungfish, horse shoe crab, coelacanth fish, Tuatara, lobe finned fishes etc.

3 0

3 years ago

A man has a power of 90 W and mass 60 kg runs up a staircase in 40 s. If each staircase is 20cm high find the number of steps? (

Svetlanka [38]

I depends on three area of the staircase

4 0

3 years ago

A motorcycle traveling south reaches a speed of 38.0 m/s. It then begins uniform negative acceleration and comes to rest after 7

Aleonysh [2.5K]

Answer: 30.641

Explanation: If you get the ave which is 38.0 then the vi which is 7.359

38.0-7.359=30.641/0.0 which is 30.641

6 0

3 years ago

A gas expands and does PV work on its surroundings equal to 319 J. At the same time, it absorbs 136 J of heat from the surroundi

LiRa [457]

Answer:

The change in energy of the gas during the process is $-1.83\times 10^{2}$ joules.

Explanation:

We can represent this process by the First Law of Thermodynamics, in which gas does work on its surroundings and absorbs heat from there to describe its change in energy. In other words:

$Q_{in} - W_{out} = \Delta E$

Where:

$Q_{in}$ - Heat absorbed by the gas, measured in joules.

$W_{out}$ - Work done by the gas, measured in joules.

$\Delta E$ - Change in energy, measured in joules.

If we know that $Q_{in} = 1.36\times 10^{2}\,J$ and $W_{out} = 3.19\times 10^{2}\,J$ , the change in energy of the gas is:

$\Delta E = 1.36\times 10^{2}\,J-3.19\times 10^{2}\,J$

$\Delta E = -1.83\times 10^{2}\,J$

The change in energy of the gas during the process is $-1.83\times 10^{2}$ joules.

3 0

3 years ago

A cat’s crinkle ball toy of mass 15g is thrown straight up with an initial speed of 3m/s . Assume in this problem that air drag

Readme [11.4K]

Answer:

(a)0.0675 J

(b)0.0675 J

(d)0.0675 J

(e)-0.0675 J

(f)0.459 m

Explanation:

15g = 0.015 kg

(a) Kinetic energy as it leaves the hand

$E_k = \frac{mv^2}{2} = \frac{0.015*3^2}{2} = 0.0675 J$

(b) By the law of energy conservation, the work done by gravitational energy as it rises to its peak is the same as the kinetic energy as the ball leave the hand, which is 0.0675 J

(d) The gravitational energy at peak point would also be the same as 0.0675J

(e) In this case as the reference point is reversed, we would have to negate the original potential energy. So the potential energy as the ball leaves hand is -0.0675J

(f) Since at the maximum height the ball has potential energy of 0.0675J. This means:

mgh = 0.0675

0.015*9.81h = 0.0675

h = 0.459 m

The ball would reach a maximum height of 0.459 m

4 0

3 years ago