In s-t equation left(s=10+20 t-5 t^2right) , match following columns. Colum I Colum II (A) Dis

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2.Motion in Straight Line

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In the $s-t$ equation $\left(s=10+20 t-5 t^2\right)$, match the following columns.

Colum $I$ Colum $II$

$(A)$ Distance travelled in $3\,s$ $(p)$ $-20$ units

$(B)$ Displacement in $1\,s$ $(q)$ $15$ units

$(C)$ Initial acceleration $(r)$ $25$ units

$(D)$ Velocity at $4\,s$ $(s)$ $-10$ units

A$( A \rightarrow r , B \rightarrow p , C \rightarrow s , D \rightarrow p )$

B$( A \rightarrow p , B \rightarrow p , C \rightarrow s , D \rightarrow r )$

C$( A \rightarrow r , B \rightarrow s , C \rightarrow p , D \rightarrow p )$

D$( A \rightarrow s , B \rightarrow p , C \rightarrow r , D \rightarrow p )$

Solution

(a)
Comparing the given equation with general equation of displacement, $s=s_0+u t+\frac{1}{2} a t^2$, we get
$u=+20 \text { unit and } a=-10 \text { unit }$

Standard 11

Physics

The acceleration (a)-time $(t)$ graph for a particle moving along a straight starting from rest is shown in figure. Which of the following graph is the best representation of variation of its velocity $(v)$ with time $(t)$ ?

hard

A particle of unit mass undergoes one dimensional motion such that its velocity varies according to $ v(x)= \beta {x^{ – 2n}}$, where $\beta$ and $n$ are constants and $x$ is the position of the particle. The acceleration of the particle as a function of $x$, is given by

hard

(AIPMT-2015)

The displacement versus time graph for a body moving in a straight line is shown in figure. Which of the following regions represents the motion when no force is acting on the body

medium

The initial velocity of a particle moving along $x$-axis is $u$ (at $t=0$ and $x=0$ ) and its acceleration $a$ is given by $a=k x$. Which of the following equation is correct between its velocity $(v)$ and position $(x)$ ?

medium

The $v – t$ graph of a moving object is given in figure. The maximum acceleration is………..$\mathrm{cm/sec}^{2}$

medium

Colum $I$	Colum $II$
$(A)$ Distance travelled in $3\,s$	$(p)$ $-20$ units
$(B)$ Displacement in $1\,s$	$(q)$ $15$ units
$(C)$ Initial acceleration	$(r)$ $25$ units
$(D)$ Velocity at $4\,s$	$(s)$ $-10$ units

In the $s-t$ equation $\left(s=10+20 t-5 t^2\right)$, match the following columns. Colum $I$ Colum $II$ $(A)$ Distance travelled in $3\,s$ $(p)$ $-20$ units $(B)$ Displacement in $1\,s$ $(q)$ $15$ units $(C)$ Initial acceleration $(r)$ $25$ units $(D)$ Velocity at $4\,s$ $(s)$ $-10$ units

Solution

Similar Questions

The acceleration (a)-time $(t)$ graph for a particle moving along a straight starting from rest is shown in figure. Which of the following graph is the best representation of variation of its velocity $(v)$ with time $(t)$ ?

A particle of unit mass undergoes one­ dimensional motion such that its velocity varies according to $ v(x)= \beta {x^{ – 2n}}$, where $\beta$ and $n$ are constants and $x$ is the position of the particle. The acceleration of the particle as a function of $x$, is given by

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In the $s-t$ equation $\left(s=10+20 t-5 t^2\right)$, match the following columns.

Colum $I$ Colum $II$

$(A)$ Distance travelled in $3\,s$ $(p)$ $-20$ units

$(B)$ Displacement in $1\,s$ $(q)$ $15$ units

$(C)$ Initial acceleration $(r)$ $25$ units

$(D)$ Velocity at $4\,s$ $(s)$ $-10$ units

A particle of unit mass undergoes one dimensional motion such that its velocity varies according to $ v(x)= \beta {x^{ – 2n}}$, where $\beta$ and $n$ are constants and $x$ is the position of the particle. The acceleration of the particle as a function of $x$, is given by