Suggest a suitable physical situation for following graphs.

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2.Motion in Straight Line

easy

Suggest a suitable physical situation for following graphs.

Option A

Option B

Option C

Option D

Solution

The given $a-t$ graph reveals that initially the body is moving with a certain uniform velocity. Its acceleration increases for a short interval of time, which again drops to zero. This indicates that the body again starts moving with the same constant velocity. As imilar physical situation arises when a hammer moving with a uniform velocity strikes a nail.

Standard 11

Physics

Velocity of a particle is in negative direction with constant acceleration in positive direction. Then, match the following columns.

Colum $I$ Colum $II$

$(A)$ Velocity-time graph $(p)$ Slope $\rightarrow$ negative

$(B)$ Acceleration-time graph $(q)$ Slope $\rightarrow$ positive

$(C)$ Displacement-time graph $(r)$ Slope $\rightarrow$ zero

$(s)$ $\mid$ Slope $\mid \rightarrow$ increasing

$(t)$ $\mid$ Slope $\mid$ $\rightarrow$ decreasing

$(u)$ |Slope| $\rightarrow$ constant

medium

The acceleration of a particle is increasing linearly with time $t$ as $bt$. The particle starts from the origin with an initial velocity ${v_0}$. The distance travelled by the particle in time $t$ will be

medium

The acceleration $a$ (in $ms ^{-2}$ ) of a body, starting from rest varies with time $t$ (in second) according to the relation $a=3 t+4$. The velocity of the body starting from rest at time $t=2 s$ will be $……..ms ^{-1}$

easy

A car accelerates from rest at a constant rate $\alpha $ for some time, after which it decelerates at a constant rate $\beta $ and comes to rest. If the total time elapsed is $t$, then the maximum velocity acquired by the car is

hard

(AIPMT-1994)

The position $x$ of a particle varies with time $t$ as $x = a{t^2} – b{t^3}$. The acceleration of the particle will be zero at time $t$ equal to

medium

(AIPMT-1997)

Colum $I$	Colum $II$
$(A)$ Velocity-time graph	$(p)$ Slope $\rightarrow$ negative
$(B)$ Acceleration-time graph	$(q)$ Slope $\rightarrow$ positive
$(C)$ Displacement-time graph	$(r)$ Slope $\rightarrow$ zero
	$(s)$ $\mid$ Slope $\mid \rightarrow$ increasing
	$(t)$ $\mid$ Slope $\mid$ $\rightarrow$ decreasing
	$(u)$ \|Slope\| $\rightarrow$ constant

Suggest a suitable physical situation for following graphs.

Solution

Similar Questions

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A car accelerates from rest at a constant rate $\alpha $ for some time, after which it decelerates at a constant rate $\beta $ and comes to rest. If the total time elapsed is $t$, then the maximum velocity acquired by the car is

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