Embibe Experts Solutions for Chapter: Kinematics, Exercise 2: Exercise-2

Two particles $A$ & $B$ projected along different direction from the same point $P$ on the ground with the same velocity of in the same vertical plane. They hit the ground at the same point $Q$ such that $PQ=480 \mathrm{m}.$ Than: $\left(g=9.8 \mathrm{m} {\mathrm{s}}^{-2}\right)$ 

Two particles $P$ & $Q$ are projected simultaneously from a point $O$ on a level ground in the same vertical plane with the same speed in directions making angle of $30°$and $60°$ respectively with the horizontal.

A ball is projected on smooth inclined plane in direction perpendicular to line of greatest slope with velocity of $8{\mathrm{ms}}^{-1}.$ find it's speed after $1$sec.

The horizontal range of a projectile is $R$ and the maximum height attained by it is $H$. A strong wind now begins to blow in the same condition of projection. find the horizontal range of the projectile.

Acceleration versus velocity graph of a particle moving in a straight line starting form rest as shown in figure.the corresponding velocity-time graph would be:

An inclined plane makes an angle $30°$ with the horizontal. A groove $OA=5 \mathrm{m}$ cut in the plane makes an angle $30°$ with $OX$. A short smooth cylinder is free to slide down the influence of gravity. The time taken by the cylinder to reach from $A$ to $O$ is $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

In the figure shown block $B$ moves down with a velocity $10 \mathrm{m} {\mathrm{s}}^{-1}$. The velocity of $A$ in the position shown is

Three particles start from origin at the same time with a velocity $2 \mathrm{m} {\mathrm{s}}^{-1}$ along positive $x$-axis, the second with a velocity $6 \mathrm{m} {\mathrm{s}}^{-1}$ along negative $y$-axis. Find the velocity of the third particle along $x=y$ line so that the three particles may always lie on a straight line