Embibe Experts Solutions for Chapter: Motion in a Plane, Exercise 1: Exercise 1

Which graph represents an object at rest?

An aeroplane is in a level flight at $144 \mathrm{km} {\mathrm{h}}^{-1}$ at an altitude of $1000 \mathrm{m}.$ How far from a target should a bomb be released from it to hit the target?

Two objects moving along the same straight line are leaving point $A$ with an acceleration $a, 2a \&$ velocity $2u, u$, respectively at time $t=0.$ The distance moved by the object with respect to point $A$ when one object overtakes the other is

The velocity of a particle moving along $x$-axis is given as $v=x^2-5x+4$ (in ${\mathrm{ms}}^{-1}$) where $x$ denotes the $x$-coordinate of the particle in metres. Find the magnitude of acceleration of the particle when the velocity of particle is zero? 

A weightless inextensible rope rest on a stationary wedge forming an angle $\alpha$ with the horizontal. One end of the rope is fixed on the wall at point $A$. A small load is attached to the rope at point $B$. The wedge starts moving to the right with a constant acceleration $a$. The acceleration of the load is give by:

The instantaneous coordinates of a particle are $x=\left(4t\right) \mathrm{m}$ and $y=\left(8t^2\right) \mathrm{m}$. The acceleration of the particle is

A particle is dropped from a height $h$. Another particle which was initially at a horizontal '$d$' from the first, is simultaneously projected with a horizontal velocity '$u$' and the two particles just collide on the ground. The three quantities $h$. $d$ and $u$ are related to:

A particle is projected from a tower as shown in figure, then the distance from the foot of the tower where it will strike the ground will be: (take $g=10 {\mathrm{ms}}^{-2}$)