In following displacement x versus time t graph, at which among points P, Q and R is object's sp

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2.Motion in Straight Line

hard

In the following displacement $x$ versus time $t$ graph, at which among the points $P, Q$ and $R$ is the object's speed increasing?

$R$ only

$P$ only

$Q$ and $R$ only

$P, Q$ and $R$

(KVPY-2014)

Solution

(a)

In given displacement-time graph, velocity at a particular point is given by the slope of tangent to curve drawn at that point.

Speed is the magnitude of velocity, so magnitude of slope gives speed.

As angle of tangent at $R\left(\theta_3\right)$ is maximum, so slope's magnitude $|m|=\left|\tan \theta_3\right|$ is maximum at $R$. Hence, speed is increasing at point $R$.

Standard 11

Physics

The velocity $(v)$-time $(t)$ graph for a particle moving along $x$-axis is shown in the figure. The corresponding position $(x)$ – time $(t)$ is best represented by

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The displacement-time graph for two particles $A$ and $B$ is as follows. The ratio $\frac{v_A}{v_B}$ is

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A particle moves along a straight line $OX$ . At a time $t$ (in seconds) the distance $x$ (in metres ) of the particle from $O$ is given by $x = 40 + 12t – {t^3}$.How long would the particle travel before coming to rest ?……….$m$

medium

(AIPMT-2006)

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

medium

The position-time graphs for two students $A$ and $B$ returning from the school to their homes are shown in figure

$(A)$ $A$ lives closer to the school

$(B)$ $B$ lives closer to the school

$(C)$ $A$ takes lesser time to reach home

$(D)$ $A$ travels faster than $B$

$(E)$ $B$ travels faster than $A$

Choose the correct answer from the options given below :

medium

(JEE MAIN-2023)

In the following displacement $x$ versus time $t$ graph, at which among the points $P, Q$ and $R$ is the object's speed increasing?

Solution

Similar Questions

The velocity $(v)$-time $(t)$ graph for a particle moving along $x$-axis is shown in the figure. The corresponding position $(x)$ – time $(t)$ is best represented by

The displacement-time graph for two particles $A$ and $B$ is as follows. The ratio $\frac{v_A}{v_B}$ is

A particle moves along a straight line $OX$ . At a time $t$ (in seconds) the distance $x$ (in metres ) of the particle from $O$ is given by $x = 40 + 12t – {t^3}$.How long would the particle travel before coming to rest ?……….$m$

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

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