Embibe Experts Solutions for Chapter: Kinematics, Exercise 1: Level 1

The initial velocity of a particle is $10 \mathrm{m} {\mathrm{s}}^{-1}$ and its retardation is $2 \mathrm{m} {\mathrm{s}}^{-2}.$ The distance covered in the fifth second of the motion will be

The displacement time graph of a moving particle is shown below.

The instantaneous velocity of the particle is negative at the point

All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.

A particle $P$ is projected from a point on the surface of smooth inclined plane (see figure). Simultaneously another particle $Q$ is released on the smooth inclined plane from the same position. $P$ and $Q$ collide after $t=4 \mathrm{s}$. What will be the speed of projection of $P$ (in $\mathrm{m} {\mathrm{s}}^{-1}$)?

Force $\overrightarrow{\mathrm{F}}$ applied on a body is written as $\overrightarrow{F}=(\hat{n}\times \hat{F})·\hat{n}+\overrightarrow{G},$ where $\hat{n}$ is a unit vector. The vector $\overrightarrow{G}$ is equal to

A stone projected at an angle of $60°$ from the ground level strikes at an angle of $30°$ on the roof of a building of height $h$. Find the speed of projection of the stone in $\mathrm{m} {\mathrm{s}}^{-1}$. Take $h=30 \mathrm{m}, g=10 \mathrm{m} {\mathrm{s}}^{-2}$

The angle between two vectors $x$ and $y$ is $\theta$. If the resultant vector $z$ makes an angle $\frac{\theta }{2}$ with $x$, then which of the following is true?

A train of length $210 \mathrm{m}$ is moving with a speed of $25 \mathrm{m} {\mathrm{s}}^{-1}$ in North direction. A small bird is flying above the train with a speed of $5 \mathrm{m} {\mathrm{s}}^{-1}$ in south direction. Find the time taken by the bird to cross the train in seconds.