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

At$t=0 \mathrm{s},$  an object at origin has a velocity $\overrightarrow{v}=(2\hat{i}+4\hat{j}) \mathrm{m} {\mathrm{s}}^{-1}.$. If it is acted upon by an acceleration $a=(\hat{i}-3\hat{j}) \mathrm{m} {\mathrm{s}}^{-2}$ for a duration of $6$ seconds, find its coordinates at the end of $t=6$ seconds.

The displacement of a particle starting from rest at $t=0$ is given by $s=9t^2-2t^3$. The time in seconds at which the particle will attain zero velocity is

A particle is moving along the positive $x$-axis as $x=a\left(t-3\right)+b{\left(t-3\right)}^2+4\left(t-3\right)$, which of the following is true?

All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.

The displacement time graph of a moving particle is shown below.

The instantaneous velocity of the particle is negative at the point

A projectile is fired at an angle of $45°$ and reaches the highest point in its path after $2\sqrt{2}$ s. Find the velocity of projectile in $\mathrm{m}/\mathrm{s}$.

A bomb is dropped by a fighter plane flying horizontally. To an observer sitting in the plane, the trajectory of the bomb is a :