Embibe Experts Solutions for Chapter: Kinematics, Exercise 4: BEGINNER'S BOX - 4

The distance travelled by a particle in time $t$ is given by $s=\left(2.5 t^2\right) \mathrm{m}$. Find the instantaneous speed at $t=5.0 \mathrm{s}$.

A particle goes from point $A$ to point $B$, moving in a semicircle of radius $1 \mathrm{m}$ in $1$ second. Find the magnitude of its average velocity.

Straight distance between a hotel and a railway station is $10 \mathrm{km}$, but circular route is followed by a taxi covering $23 \mathrm{km}$ in $28$ $\min$. What is the average speed and magnitude of average velocity? Are they equal?

A particle moves on a circular path of radius $5 \mathrm{m}$ with constant speed $5 \mathrm{m} {\mathrm{s}}^{-1}$. Find the magnitude of its average acceleration when it completes a half revolution.

The position of a particle moving on X-axis is given by $\mathrm{x}={\mathrm{At}}^2+\mathrm{Bt}+\mathrm{C}$The numerical values of A, B and C are 7, – 2 and 5 respectively and $\mathrm{SI}$ Units are used. Find the velocity of the particle when time is 5 sec.

The position of a particle moving along  $X$-axis is given by $x=A{t}^2+Bt+C$ The numerical values of $A, B$ and $C$ are $7,-2$ and $5$ respectively and $\mathrm{SI}$ Units are used. Find the acceleration of the particle at time is 5 sec.