We have carefully distinguished between average speed and magnitude of average velocity. No such dis

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2.Motion in Straight Line

easy

we have carefully distinguished between average speed and magnitude of average velocity. No such distinction is necessary when we consider instantaneous speed and magnitude of velocity. The instantaneous speed is always equal to the magnitude of instantaneous velocity. Why ?

Option A

Option B

Option C

Option D

Solution

Instantaneous velocity is given by the first derivative of distance with respect to time i.e., $v_{\ln }=\frac{d x}{d t}$

Here, the time interval $d t$ is so small that it is assumed that the particle does not change its direction of motion. As a result, both the total path length and magnitude of displacement become equal is this interval of time. Therefore, instantaneous speed is always equal to instantaneous velocity.

Standard 11

Physics

Which of the following velocity-time graphs is physically not possible?

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The graph shows the variation of velocity of a rocket with time. Then, the maximum height attained by the rocket is ………..$km$ :-

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Which one of the following represents displacement time graph of two objects $A$ and $B$ moving with zero relative velocity ?

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The $x – t$ graph shown in figure represents

medium

Two cars $P$ and $Q$ start from a point at the same time in a straight line and their positions are represented by $ x_p(t)=at+bt^2 $ and $x_Q(t)= ft- t^2$. At what time do the cars have the same velocity $?$

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(NEET-2016)

we have carefully distinguished between average speed and magnitude of average velocity. No such distinction is necessary when we consider instantaneous speed and magnitude of velocity. The instantaneous speed is always equal to the magnitude of instantaneous velocity. Why ?

Solution

Similar Questions

Which of the following velocity-time graphs is physically not possible?

The graph shows the variation of velocity of a rocket with time. Then, the maximum height attained by the rocket is ………..$km$ :-

Which one of the following represents displacement time graph of two objects $A$ and $B$ moving with zero relative velocity ?

The $x – t$ graph shown in figure represents

Two cars $P$ and $Q$ start from a point at the same time in a straight line and their positions are represented by $ x_p(t)=at+bt^2 $ and $x_Q(t)= ft- t^2$. At what time do the cars have the same velocity $?$

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