(A) Given: Initial position $x_i = 3 \ cm$,final position $x_f = -5 \ cm$,initial velocity $\vec{u} = 12 \hat{i} \ cm \ s^{-1}$,and time $t = 2 \ s$.D

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$\vec{a} = (-16 \ cm \ s^{-2}) \hat{i}$

(A) Given: Initial position $x_i = 3 \ cm$,final position $x_f = -5 \ cm$,initial velocity $\vec{u} = 12 \hat{i} \ cm \ s^{-1}$,and time $t = 2 \ s$.Displacement $\vec{s} = x_f - x_i = (-5 - 3) \hat{i} = -8 \hat{i} \ cm$.Using the equation of motion $\vec{s} = \vec{u}t + \frac{1}{2} \vec{a}t^2$:$-8 \hat{i} = (12 \hat{i})(2) + \frac{1}{2} \vec{a} (2)^2$$-8 \hat{i} = 24 \hat{i} + 2 \vec{a}$$2 \vec{a} = -8 \hat{i} - 24 \hat{i} = -32 \hat{i}$$\vec{a} = -16 \ cm \ s^{-2} \hat{i}$.

Class 11 Physics Motion in Straight Line Uniformly Accelerated Motion

Medium

An object moving along the $x$-axis with a uniform acceleration has a velocity $\vec{v} = (12 \ cm \ s^{-1}) \hat{i}$ at $x = 3 \ cm$. After $2 \ s$,if it is at $x = -5 \ cm$,then its acceleration is:

AP EAMCET 2022 All AP EAMCET

A
$\vec{a} = (-16 \ cm \ s^{-2}) \hat{i}$
B
$\vec{a} = (11 \ cm \ s^{-2}) \hat{i}$
C
$\vec{a} = (-11 \ cm \ s^{-2}) \hat{i}$
D
$\vec{a} = (8 \ cm \ s^{-2}) \hat{i}$

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An object moving along the $x$-axis with a uniform acceleration has a velocity $\vec{v} = (12 \ cm \ s^{-1}) \hat{i}$ at $x = 3 \ cm$. After $2 \ s$,if it is at $x = -5 \ cm$,then its acceleration is:

Similar Questions

The average velocity of a body moving with uniform acceleration travelling a distance of $3.06 \ m$ is $0.34 \ ms^{-1}$. If the change in velocity of the body is $0.18 \ ms^{-1}$ during this time,its uniform acceleration is ......... $ms^{-2}$.

$A$ body starts with an initial velocity of $10\,m/s$ and moves along a straight line with constant acceleration. When the velocity of the particle is $50\,m/s$,the acceleration is reversed in direction. The velocity of the particle when it again reaches the starting point is $............\,m/s$.

$A$ point starts moving in a straight line with a certain acceleration. At a time $t$ after the beginning of motion,the acceleration suddenly becomes a retardation of the same value. The time in which the point returns to the initial point is:

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