S K Sharma Solutions for Chapter: Motion, Exercise 4: UNSOLVED NUMERICALS FOR PRACTICE

A car starts from rest and accelerates uniformly at $2 \mathrm{m} {\mathrm{s}}^{-2}$ for $10 \mathrm{s}$. What is its velocity at the end of $10 \mathrm{s}$?

A train starts from rest and accelerates uniformly at $10 \mathrm{m} {\mathrm{s}}^{-2}$ for $1 \mathrm{minute}$. Find the ($\mathrm{i}$) velocity and ($\mathrm{ii}$) distance travelled by the train at the end of $1 \mathrm{minute}$.

A stone is dropped down a deep well from rest. The well is $50 \mathrm{m}$ deep. How long will it take to reach the bottom of well? Given $a=9.8 \mathrm{m} {\mathrm{s}}^{-2}$.

A car is moving with a uniform velocity of $10 \mathrm{m} {\mathrm{s}}^{-1}$. The driver of the car decided to overtake a bus moving ahead of car. So the driver of the car accelerates at $1 \mathrm{m} {\mathrm{s}}^{-2}$ for $10 \mathrm{s}$. Find the velocity of the car at the end of $10 \mathrm{s}$. Also, find the distance travelled by the car while accelerating.

A motorcyclist riding motorcycle $A$ is travelling at a speed of $20 \mathrm{m} {\mathrm{s}}^{-1}$ applies the brakes and stops the motorcycle in $10 \mathrm{s}$. Another motorcyclist of motorcycle $B$ who is travelling at a speed of $5 \mathrm{m} {\mathrm{s}}^{-1}$ applies the brakes and stops the motorcycle in $20 \mathrm{s}$. Plot speed-time graph for the two motorcycles. Which of the two motorcycles travelled farther before it comes to a stop?

A train starting from rest attains a velocity of $72 \mathrm{km} {\mathrm{h}}^{-1}$ in $5$ minutes. Assuming that the acceleration of the train is uniform, find ($\mathrm{i}$) acceleration of the train ($\mathrm{ii}$) the distance travelled by the train for attaining this velocity.