Embibe Experts Solutions for Chapter: Kinematics, Exercise 1: KEAM 2018

A ship of mass $2\times {10}^7\mathrm{kg}$ initially at rest is pulled by a force of $5\times {10}^5\mathrm{N}$, through a distance of $2\mathrm{m}$. Assuming that the resistance due to water is negligible, the speed of the ship is

A bat emits an ultrasonic sound wave at $33.0 \mathrm{kHz}$ and receives an echo $0.1 \mathrm{s}$ later. What is the distance of the bat from the object-producing echo ? (Speed of sound in air is $330 \mathrm{m}/\mathrm{s}$ )

The magnitude of deceleration required for a body, moving at a speed of $10 \mathrm{m}/\mathrm{s}$ to come to a complete halt at a distance of $100 \mathrm{m}$ is

The variation of speed $(\mathrm{in} \mathrm{m}/\mathrm{s})$ of an object with time (in seconds) is given by the expression $V\left(t\right)=V_0-5t+5t^2$

An object having a velocity $5 \mathrm{m}/\mathrm{s}$ is accelerated at the rate $2 \mathrm{m}/{\mathrm{s}}^2$ for $6 \mathrm{s}.$ Find the distance travelled during the period of acceleration

The following plot gives the variation of acceleration $\left(\mathrm{m}/{\mathrm{s}}^2\right)$ with time $\left(s\right)$ for an object that started from rest at time $t=0 \mathrm{s}.$ The velocity at time $t=15 \mathrm{s}\left(v_{15}\right)$ and at $25 \mathrm{s}$ $\left(V_{25}\right)$, respectively are

A ball of mass $m$ is projected upward with a speed $v_0.$ The speed at a height $h$ is (Neglecting air resistance)

A boat is moving from the east bank to the west bank on a south flowing river. If the speed of the boat is $4 \mathrm{km}/\mathrm{h}$ and that of the river is $3 \mathrm{km}/\mathrm{h}.$ If the width of the river is $2 \mathrm{km},$ the distance travelled by the boat is