Embibe Experts Solutions for Chapter: Kinematics, Exercise 1: NEET - 5th May 2019

The ratio of the distances travelled by a freely falling body in the $1^{\mathrm{st} },2^{\mathrm{nd} },3^{\mathrm{rd} }$ and $4^{\mathrm{th} }$ second

The displacement-time graphs of two moving particles make angles of $30°$ and $45°$ with the $x$-axis as shown in the figure. The ratio of their respective velocity is:

A ball is projected with a velocity, $10{ \mathrm{m} \mathrm{s}}^{-1}$, at an angle of $60°$ with the vertical direction. Its speed at the highest point of its trajectory will be

A small block slides down on a smooth inclined plane, starting from rest at time $t=0$. Let $S_n$ be the distance travelled by the block in the interval $t=n-1$ to $t=n$. Then, the ratio $\frac{s_n}{s_{n+1}}$ is:

A particle moving in a circle of radius $R$ with a uniform speed takes a time $T$ to complete one revolution. If this particle were projected with the same speed at an angle  $\theta$ to the horizontal, the maximum height attained by it equals $4R$. The angle of projection $\theta$ is then given by___

A car starts from rest and accelerates at $5 \mathrm{m} {\mathrm{s}}^{-2}, \text{at} t=4 \mathrm{s}$, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at $t=6 \mathrm{s}$ ? $(\left.g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

The angular speed of the wheel of a vehicle is increased from, $360 \mathrm{rpm}$ to $1200 \mathrm{rpm}$ in $14 \mathrm{s}$. Its angular acceleration is, 

A person sitting in the ground floor of a building notices through the window, of height $1.5 \mathrm{m},$ a ball dropped from the roof of the building crosses the window in $0.1 \mathrm{s}.$ What is the velocity of the ball when it is at the topmost point of the window? $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$