Embibe Experts Solutions for Exercise 9: Assignment

A stone is dropped from the top of a tower and travels$24.5 \mathrm{m}$ in the last second of its journey. The height of the tower is $n \mathrm{m}.$. The value of $n$is

A body starts from rest with an acceleration $2 \mathrm{m} {\mathrm{s}}^{-2}$ till it attains the maximum velocity then retards to rest with $3 \mathrm{m} {\mathrm{s}}^{-2}.$ If total time taken is $10$ second, then maximum speed attained is $n \mathrm{m} {\mathrm{s}}^{-1}.$ The value of $n$is

A body is thrown vertically upward with velocity $u.$ The distance travelled by it in the $7^{\text{th }}$ and $8^{\text{th }}$ seconds are equal. The displacement in $8^{\text{th }}$ seconds is equal to $n \mathrm{~m}$. The value of $n$ is (take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$ )

A particle starts from rest. Its acceleration is varying with time as shown in the figure. When the particle comes to rest, its distance from its starting point is $n \mathrm{m}.$ The value of $n$ is

Two particles $P$ and $Q$ are initially $40 \mathrm{m}$ apart $P$ behind $Q.$ Particle $P$ starts moving with a uniform velocity $10 \mathrm{m} {\mathrm{s}}^{-1}$ towards $Q.$ Particle $Q$ starting from rest has an acceleration $2 \mathrm{m} {\mathrm{s}}^{-2}$ in the direction of velocity of $P.$Then the minimum distance between $P$ and $Q$ will be $n \mathrm{m}.$ The value of $n$ is

The position $x$ of a particle varies with time as $x=a{t}^2-b{t}^3.$ The acceleration of particle is zero at time $t$  equal to $\frac{a}{nb}.$ The value of $n$ is

A particle moves along a straight line such that its displacement at any instant $\text{'} t \text{'}$is given by $x=t^3$ $-6t^2+3t+4$ meters. The velocity when the acceleration is zero is $n \mathrm{m} {\mathrm{s}}^{-1}.$ The value of $n$ is

A motor boat going downstream overcomes a float at a point $A .60$ minutes later it turns and after some time passes the float at a distance of $12 \mathrm{km}$ from the point $A.$ The velocity of the stream is $n$ $\frac{\mathrm{km}}{\mathrm{h}}.$ The value of $n$ is (assuming constant velocity for the boat in still water)