(A) The average acceleration over a time interval $\Delta t$ is defined as $a_{avg} = \frac{\Delta v}{\Delta t}$.The instantaneous acceleration is def

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When the acceleration is constant.

(A) The average acceleration over a time interval $\Delta t$ is defined as $a_{avg} = \frac{\Delta v}{\Delta t}$.The instantaneous acceleration is defined as $a = \lim_{\Delta t \to 0} \frac{\Delta v}{\Delta t} = \frac{dv}{dt}$.For the average acceleration to be equal to the instantaneous acceleration at any time,the rate of change of velocity must be constant.Therefore,the acceleration must be constant.

Class 11 Physics Motion in Straight Line Uniformly Accelerated Motion

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When will the average acceleration and instantaneous acceleration of a particle be equal over any time interval?

A
When the acceleration is constant.
B
When the velocity is constant.
C
When the displacement is constant.
D
When the speed is constant.

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Motion in Straight Line

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Uniformly Accelerated Motion

Two bodies $A$ and $B$ start from the same point at the same instant and move along a straight line. Body $A$ moves with uniform acceleration $a$ and body $B$ moves with uniform velocity $V$. They meet after time $t$. The value of $t$ is

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$A$ car is moving with velocity $V$. It stops after applying brakes at a distance of $20 \ m$. If the velocity of the car is doubled,then what distance will it cover after applying the brakes (in $m$)?

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An electron starting from rest has a velocity that increases linearly with time,given by $v = kt$,where $k = 2 \, m/s^2$. The distance travelled in the first $3 \, s$ will be ........... $m$.

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$A$ particle starting from rest moves with a uniform acceleration and covers $x$ meters in the first $5 \ s$. The same particle will cover the following distance in the next $5 \ s$:

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$A$ body of mass $4 \,kg$ is accelerated by a constant force. It travels a distance of $5 \,m$ in the first second and a distance of $2 \,m$ in the third second. The force acting on the body is: (in $\,N$)

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When will the average acceleration and instantaneous acceleration of a particle be equal over any time interval?

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Two bodies $A$ and $B$ start from the same point at the same instant and move along a straight line. Body $A$ moves with uniform acceleration $a$ and body $B$ moves with uniform velocity $V$. They meet after time $t$. The value of $t$ is

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