Embibe Experts Solutions for Exercise 1: EXERCISE

A particle starts from the origin, goes along $x$-axis to the point $(10 \mathrm{m},0)$ and then returns along the same line to the point $(-10 \mathrm{m},0)$. The distance and displacement of the particle during the trip are

A person starts walking and comes back to its initial position after $2 \mathrm{h}$, then which of the following quantity is zero?

The maximum and minimum values of the function $y=x^3-3x^2+6$ are

If $y=\frac{2}{\sin \theta +\sqrt{3}\cos \theta }$, then the minimum value of $y$ is

A metallic disc is being heated. Its area A (in ${\mathrm{m}}^2$) at any time $t$ (in second) is given by $A=5t^2+4t+8$. The rate of increase in area at $t=3 \mathrm{s}$ is

$y=\cos (5-3t),\frac{dy}{dt}=$

$\int \frac{dx}{3x+5}=$

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