Embibe Experts Solutions for Chapter: Kinematics, Exercise 13: Exercise (Previous Year Questions)

A car runs at a constant speed on a circular track of radius $100 \mathrm{m}$, taking $62.8 \mathrm{seconds}$ for every circular lap. The average velocity and average speed for each circular lap, respectively, is:- 

A particle moves along a straight line $OX$. At a time $t$ (in $\mathrm{seconds}$) the distance $x$ (in $\mathrm{metres}$) of the particle from $O$ is given by $x=40+12t-t^3$. How long would the particle travel before coming to rest?

Two bodies, $A$ (of mass one kilogram) and $B$ (of mass three kilogram), are dropped from heights of $16 \mathrm{metre}$ and $25 \mathrm{metre}$, respectively. Find the ratio of the time taken by them to reach the ground is

The angles of the projection of a projectile at angle $\left(45°-\mathrm{\theta }\right)$ and $\left(45°+\mathrm{\theta }\right)$, the horizontal range described by the projectile are in the ratio of

A car moves from $X$ to $Y$ with a uniform speed $v_u$ and returns to $X$ with a uniform speed $V_d$. Find the average speed for this round trip is

A car runs at a constant speed on a circular track of radius $100 \text{m}$ , taking $62.8 \text{s}$ for every circular lap . The average velocity and average speed for each circular lap respectively is 

A particle moves in a circle of radius $5 cm$ with constant speed  and time period $0.2 \mathrm{\pi } \mathrm{s}.$ The acceleration of the particle is 

The position vector of a particle $\overrightarrow{R}$ as a function of time is given by $\overrightarrow{R}=4\sin \left(2\pi t\right)\hat{i}+4\cos \left(2\pi t\right)\hat{j}$ , where $R$ is in meters, $t$ in seconds ; $\hat{i}$ and $\hat{j}$ denote unit vectors along $x$ and $Y$ directions, respectively. Which of the following statements is wrong for the motion of the particle?