Embibe Experts Solutions for Chapter: Kinematics, Exercise 5: BEGINNER'S BOX - 5

The respective masses of the blocks are shown in the diagram in  appropriate units. Find acceleration of system, tension in the string and thrust on the pulley (in terms of g).

The position of a particle moving on $X$-axis is given by $\mathrm{x}={\mathrm{At}}^2+\mathrm{Bt}+\mathrm{C}$ The numerical values of $A, B$ and $C$ are $7, –2$ and $5$ respectively and use the $\mathrm{SI}$ units. Find the average velocity during the interval $t=0$ to $t=5$

The position of a particle moving on $X$-axis is given by $x=A{t}^2+Bt+C$ The numerical values of $A, B$ and $C$ are $7, –2$ and $5$ respectively and $\mathrm{SI}$ units are used. Find the average acceleration during the interval $t=0$ to $t=5$

A particle starts from rest, moves with constant acceleration for $15 \mathrm{s}$. If it covers $s_1$ distance in first $5 \mathrm{s}$ then distance $s_2$ in next $10 \mathrm{s}$, then find the relation between $s_1$ and $s_2$.

The engine of a train passes an electric pole with a velocity ’$u$’ and the last compartment of the train crosses the same pole with a velocity $v$. Then find the velocity with which the mid-point of the train passes the pole. Assume acceleration to be uniform.

A bullet losses $1 {\mathrm{n}}^{-1}$ of its velocity in passing through a plank. What is the least number of planks required to stop the bullet ? (Assuming constant retardation)