Velocity of a bullet is reduced from 200,m/s to 100,m/s while travelling through a wooden block of t

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2.Motion in Straight Line

easy

The velocity of a bullet is reduced from $200\,m/s$ to $100\,m/s $ while travelling through a wooden block of thickness $10\,cm$. Assuming it to be uniform, the retardation will be

A$10 \times {10^4}$ $m/s^2$

B$12 \times {10^4}$ $m/s^2$

C$13.5 \times {10^4}$ $m/s^2$

D$15 \times {10^4}$ $m/s^2$

(AIIMS-2001)

Solution

(d) $u = 200\;m/s,\;v = 100\;m/s,\;s = 0.1\;m$
$a = \frac{{{u^2} – {v^2}}}{{2s}} = \frac{{{{(200)}^2} – {{(100)}^2}}}{{2 \times 0.1}} = 15 \times {10^4}\,m/{s^2}$

Standard 11

Physics

When the velocity of body is variable, then

easy

A particle starts moving from rest in a straight line with constant acceleration. After time $t_0$, acceleration changes its sign (just opposite to the initial direction), remaining the same in magnitude. Determine the time from the beginning of motion in which the particle returns to the initial position.

hard

A particle starts from rest at $x=0\; m$ with an acceleration of $1 \,m / s ^2$. At $t = 5\;s _{ s }$ it receives an additional acceleration in the same direction as its motion. At $t =10\; s$ its speed and position are $v$ and $x$, respectively. Had the additional acceleration not been provided, its speed and position would have been $v _0$ and $x _0$, respectively. It is found that $x – x _0$ is $12.5 \,m$. Then one can conclude that $v – v _0$ is ………….. $\,m / s$

normal

(KVPY-2021)

A body $A$ starts from rest with an acceleration $a_1$ . After $2\ seconds$ , another body $B$ starts from rest with an acceleration $a_2$ . If they travel equal distance in the $5th\ second$ , after the start of $A$ , then the ratio $a_1$ : $a_2$ is equal to

medium

A bus moving along a straight highway with speed of $72 \mathrm{~km} / \mathrm{h}$ is brought to halt within $4 \mathrm{~s}$ after applying the brakes. The distance travelled by the bus during this time (Assume the retardation is uniform) is__________.$\mathrm{m}$.

hard

(JEE MAIN-2024)

The velocity of a bullet is reduced from $200\,m/s$ to $100\,m/s $ while travelling through a wooden block of thickness $10\,cm$. Assuming it to be uniform, the retardation will be

Solution

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