Physics, 13.07.2019 08:00 anyone2562

Atest car travels in a straight line along the x-axis. the graph in the figure shows the car’s position x as a function of time. at which point is the velocity zero?

Atest car travels in a straight line along the x-axis. the graph in the figure shows the car’s posit

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Answer from: elizabethseoane6321

The instantaneous velocity is zero at point and .

Further Explanation:

The velocity of an object in motion at a specific time and at specific point is termed as instantaneous velocity. Along a path of motion the given points can be separated by some finite distance.

Concept:

The expression for the instantaneous velocity is:

$\fbox{\begin\\v=\dfrac{{{x_1} - {x_o}}}{{{t_1} - {t_o}}}\end{minispace}}$

Here, is the velocity, ${x_o}$ is the initial position, ${x_1}$ is the final position, ${t_1}$ is the final time and ${t_o}$ is the initial time.

For instantaneous velocity at point :

Substitute $20\text{ m}$ for ${x_o}$ , $40\text{ m}$ for ${x_1}$ , $0\text{ s}$ for ${t_o}$ and $3\text{ s}$ for ${t_1}$ in the above equation.

$\begin{aligned}\\v&=\frac{{40{\text{ m}}-20{\text{ m}}}}{{3{\text{ s}}-0{\text{ s}}}}\\&=\frac{{20}}{3}{\text{ m/s}}\\&=6.67{\text{ m/s}}\\\end{aligned}$

For instantaneous velocity at point :

Substitute $20\text{ m}$ for ${x_o}$ , $40\text{ m}$ for ${x_1}$ , $0\text{ s}$ for ${t_o}$ and $3\text{ s}$ for ${t_1}$ in the above equation.

$\begin{aligned}\\v&=\frac{{40{\text{ m}}-20{\text{ m}}}}{{3{\text{ s}}-0{\text{ s}}}}\\&=\frac{{20}}{3}{\text{ m/s}}\\&=6.67{\text{ m/s}}\\\end{aligned}$

For instantaneous velocity at point :

Substitute $40\text{ m}$ for ${x_o}$ , $40\text{ m}$ for ${x_1}$ , $3\text{ s}$ for ${t_o}$ and $5\text{ s}$ for ${t_1}$ in the above equation.

$\begin{aligned}v&=\frac{{40{\text{ m}}-40{\text{ m}}}}{{{\text{5 s}}-3{\text{ s}}}}\\&=\frac{{-0{\text{ m}}}}{2}{\text{ m/s}}\\&=0{\text{ m/s}}\\ \end{aligned}$

For instantaneous velocity at point :

Substitute $40\text{ m}$ for ${x_o}$ , $0\text{ m}$ for ${x_1}$ , $5\text{ s}$ for ${t_o}$ and $6\text{ s}$ for ${t_1}$ in the above equation.

$\begin{aligned}v&=\frac{{0{\text{ m}}-40{\text{ m}}}}{{{\text{6 s}}-5{\text{ s}}}}\\&=\frac{{-40{\text{ m}}}}{1}{\text{ m/s}} \\ &=-40{\text{ m/s}}\\ \end{aligned}$

For instantaneous velocity at point :

Substitute $40\text{ m}$ for ${x_o}$ , $0\text{ m}$ for ${x_1}$ , $5\text{ s}$ for ${t_o}$ and $6\text{ s}$ for ${t_1}$ in the above equation.

$\begin{aligned}v&=\frac{{0{\text{ m}}-40{\text{ m}}}}{{{\text{6 s}}-5{\text{ s}}}}\\&=\frac{{-40{\text{ m}}}}{1}{\text{ m/s}}\\&=-40{\text{ m/s}}\\ \end{aligned}$

For instantaneous velocity at point :

Substitute $40\text{ m}$ for ${x_o}$ , $0\text{ m}$ for ${x_1}$ , $5\text{ s}$ for ${t_o}$ and $6\text{ s}$ for ${t_1}$ in the above equation.

$\begin{aligned}v&=\frac{{0{\text{ m}}-40{\text{ m}}}}{{{\text{6 s}}-5{\text{ s}}}}\\&=\frac{{-40{\text{ m}}}}{1}{\text{ m/s}}\\&=-40{\text{ m/s}}\\ \end{aligned}$

For instantaneous velocity at point :

The instantaneous velocity is $0\text{ m/s}$ , because slope at on the curve at point is parallel to the time axis.

Therefore, the instantaneous velocity is zero at point and .

Learn more:

1. Describe velocity

2. Average velocity

3. Difference between speed and velocity

Answer Details:

Grade: Middle school

Subject: Physics

Chapter: Kinematics

Keywords:

Test, car travels, straight, line, x-axis, graph, figure, shows, position, function, time, velocity, zero, point C and G.

Answer from: Quest

The answer is a) taiga because taigas are cold

Answer from: Quest

bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

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Atest car travels in a straight line along the x-axis. the graph in the figure shows the car’s posit...