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

A passenger in a train moving at an acceleration $a,$ drops a stone from the window. A person, standing on the ground, by the sides of the rails, observes the ball falling

The initial position of an object at rest is given by $3\hat{\mathrm{i}}-8\hat{\mathrm{j}}$. It moves with constant acceleration and reaches to the position $2\hat{\mathrm{i}}+4\hat{\mathrm{j}}$ after $4 \mathrm{s}$. What is its acceleration?

A particle starting from rest undergoes a rectilinear motion with acceleration a. The variation of a with time $t$ is shown below. The maximum velocity attained by the particle during its motion is

The displacement of a body is given by $s=\frac{1}{2}g{t}^2,$ where $g$ is acceleration due to gravity. The velocity of the body at any time $t$ is

A ball is projected at an angle of $30°$ above with the horizontal from the top of a tower and strikes the ground in $5 \mathrm{s}$ at an angle of $45°$ with the horizontal. Find the speed with which it was projected.

A car is moving on a circular road of radius $r=150 \mathrm{m}$ and its speed is increasing at a rate $8 \mathrm{m} {\mathrm{s}}^{-2}.$ At some instant its speed is $30 \mathrm{m} {\mathrm{s}}^{-1},$ net acceleration of the car at this instant is