Answer
Verified
430.8k+ views
Hint: A velocity-time graph represents velocity on the y-axis and time on the x-axis. Average velocity refers to the total velocity recorded during the entire motion of a body whereas mean velocity refers to the mean of different velocities recorded at different times of motion of the body. At the same time, instantaneous velocity relates the velocity with a particular instant of time.
Complete answer:
We know that a velocity-time graph represents velocity on the y-axis and time on the x-axis. We also know that the SI unit of velocity is $m{{s}^{-1}}$ and that of time is $s$. Thus, if we plot a velocity $(m{{s}^{-1}})$ -time $(s)$ graph for the motion of a uniformly accelerating body, we have
From the graph, it is clear that the body is undergoing uniform acceleration as the change in velocity at any time interval is the same. Also, it is clear from the graph that different velocities of the body are recorded at different times or different instants of time. These velocities recorded at different instants are termed as instantaneous velocities. For example, the instantaneous velocity of the given body at an instant $t=3s$ is equal to $2m{{s}^{-1}}$. Similarly, the instantaneous velocity of the given body at an instant $t=6s$ is equal to $4m{{s}^{-1}}$.
Thus, the correct answer is option A.
Additional information:
Average velocity refers to the total velocity recorded during the entire motion of a body whereas mean velocity refers to the mean of different velocities recorded at different times of motion of the body.
Note:
As already mentioned, the SI unit of velocity is $m{{s}^{-1}}$ and that of time is $s$. The graph drawn above follows these SI units. Here, it is to be noted that it is not necessary to plot velocity-time graphs with their SI units. Thus, other units like $kmph$ and $mph$ can also be used to plot velocity-time graphs. Students can also get a fair idea about the type of velocity recorded in a velocity-time graph from the unit of velocity. Clearly, velocities are usually recorded per second, per minute or per hour.
Complete answer:
We know that a velocity-time graph represents velocity on the y-axis and time on the x-axis. We also know that the SI unit of velocity is $m{{s}^{-1}}$ and that of time is $s$. Thus, if we plot a velocity $(m{{s}^{-1}})$ -time $(s)$ graph for the motion of a uniformly accelerating body, we have
From the graph, it is clear that the body is undergoing uniform acceleration as the change in velocity at any time interval is the same. Also, it is clear from the graph that different velocities of the body are recorded at different times or different instants of time. These velocities recorded at different instants are termed as instantaneous velocities. For example, the instantaneous velocity of the given body at an instant $t=3s$ is equal to $2m{{s}^{-1}}$. Similarly, the instantaneous velocity of the given body at an instant $t=6s$ is equal to $4m{{s}^{-1}}$.
Thus, the correct answer is option A.
Additional information:
Average velocity refers to the total velocity recorded during the entire motion of a body whereas mean velocity refers to the mean of different velocities recorded at different times of motion of the body.
Note:
As already mentioned, the SI unit of velocity is $m{{s}^{-1}}$ and that of time is $s$. The graph drawn above follows these SI units. Here, it is to be noted that it is not necessary to plot velocity-time graphs with their SI units. Thus, other units like $kmph$ and $mph$ can also be used to plot velocity-time graphs. Students can also get a fair idea about the type of velocity recorded in a velocity-time graph from the unit of velocity. Clearly, velocities are usually recorded per second, per minute or per hour.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE