Telangana Board Solutions for Chapter: Motion, Exercise 1: Exercise 1

Draw the distance vs time graph when the speed of a body increases uniformly.

Draw the distance-time graph when the speed of a body decreases uniformly.

What is the average speed of a Cheetah that sprints $100 \mathrm{m}$ in $4 \mathrm{s}$? What if it sprints $50 \mathrm{m}$ in $2 \mathrm{s}$?

A car travels at a speed of $80 \mathrm{km} {\mathrm{h}}^{-1}$ during the first half of its running time and at $40 \mathrm{km} {\mathrm{h}}^{-1}$ during the other half. Find the average speed of the car.

A particle covers $10 \mathrm{m}$ in first $5 \mathrm{s}$ and $10 \mathrm{m}$ in next $3 \mathrm{s}$. Assuming constant acceleration, find initial speed, acceleration and distance covered in next $2 \mathrm{s}$.

When the velocity is constant, can the average velocity over any time interval differ from instantaneous velocity at any instant? If so, give an example; if not explain why.

You may have heard the story of the race between the rabbit and tortoise. They started from same point simultaneously with constant speeds. During the journey, rabbit took rest somewhere along the way for a while. But the tortoise moved steadily with lesser speed and reached the finishing point before rabbit. Rabbit woke up and ran, but rabbit realized that the tortoise had won the race. Draw distance vs time graph for this story.

A man is $48 \mathrm{m}$ behind a bus which is at rest. The bus starts accelerating at the rate of $1 \mathrm{m} {\mathrm{s}}^{-2}$, at the same time the man starts running with uniform velocity of $10 \mathrm{m} {\mathrm{s}}^{-1}$. What is the minimum time in which the man catches the bus?