Mukesh Kumar Gandhi Solutions for Chapter: Motion in One Dimension, Exercise 3: Self Evaluation Test

A spaceship travelling in space at $400 \mathrm{km}/\mathrm{s}$  fires its engine for $10 \mathrm{s}$ so that its final velocity becomes $600 \mathrm{km}/\mathrm{s}$. Find the total distance travelled by the spaceship in kilometres in $60 \mathrm{s}$  starting from the time of firing.

(Choose from the following: $5000, 30000, 35000, 276000$)

An insect is crawling on a cycle rim of radius R. What is its distance, when it covers half of the rim?

Use, $\pi =p$

An insect is crawling on a cycle rim of radius $R$. What is its distance, when it covers full rim?

Use, $\pi =p$

A truck takes $20 \mathrm{s}$ to move around a circular path of radius $14 \mathrm{m}$. Calculate: (i) average speed and (ii) magnitude of average velocity. 

Consider a body is initially moving with a velocity of $18 \mathrm{km} {\mathrm{h}}^{-1}$ which starts decelerating at a constant rate of $2 \mathrm{m} {\mathrm{s}}^{-2}$. Determine the time at which the body becomes stationary. Also find the distance travelled by the body.

The velocity versus time graph of a moving object is shown in the given figure. Identify the portions where the acceleration is maximum and where the acceleration is negative. Also find the retardation of the object.

A car travelling at $15 \mathrm{m} {\mathrm{s}}^{-1}$ takes a U-turn in $15 \mathrm{s}$ without changing its speed. Calculate the average acceleration (in $\mathrm{m} {\mathrm{s}}^{-2}$) of the car.

A car travelling at $108 \mathrm{km} {\mathrm{h}}^{-1}$ has its speed reduced to $36 \mathrm{km} {\mathrm{h}}^{-1}$ after travelling a distance of $0.2 \mathrm{km}$. Find the retardation and time taken for this process.