Rohit a student of class $\mathrm{X}$, aged $15$ years was tempted to have a power bike of his own when his friend bought one. He asked his father Ramesh to buy the bike for him. His father thought that it is a natural desire at this age for driving a speedy bike. At the same time, he recalled an article he read in which it was given that more deaths in India take place in road accidents as compared to murders. He collected this data and discussed this with his son trying to convince him that the legal age of driving power bikes in India is $18$ years. Younger teens are easily distracted, tend to take risks, are not experienced at recognised typical possibilities, not understanding that a single second of misjudgment can ruin not only their lives but also that of others. Ultimately Rohit got convinced.    

Answer the following question based on the above information:
A motorcycle is running at a speed of $54 \mathrm{km}/\mathrm{hr}$. What should be the uniform acceleration in $\mathrm{m} {\mathrm{s}}^{-2}$ so that the motorcycle covers a distance of $1 \mathrm{km}$ in $20$ seconds?

Namisha learnt to drive activa a few days back. She was challenged by a friend Deeksha to have a race from her house to school. Namisha accepted the challenge. Priyanka a friend of Namisha requested her to think once more before starting the race as, if unfortunately, she met an accident then it would not only be dangerous for her but also for some other persons whom she may hit.

After reading the above paragraph answer the following questions:

$\mathrm{A}$ and $\mathrm{B}$ both started their vehicles at the same time. A started moving with a constant velocity of $10 {\mathrm{ms}}^{-1}$ in a straight line. $\mathrm{B}$ started moving from rest but with an acceleration of $1 {\mathrm{ms}}^{-2}$ in the same straight line. After how much time will $\mathrm{B}$ overtake $\mathrm{A}$?

Rohit wanted to go from place $\mathrm{A}$ to place $\mathrm{B}$. He had since travelled from $\mathrm{A}$to $\mathrm{B}$ through a highway which was too long. Rohit used Google maps to find a short way out so that he could save fuel and contribute less towards environmental pollution. He did find a shorter way and decided to travel through the shorter way.
Read the above passage and answer the following:
Did the path taken by Rohit is the displacement from $\mathrm{A}$ to $\mathrm{B}$?

Rohit wanted to go from place $\mathrm{A}$ to place $\mathrm{B}$. He had since travelled from $\mathrm{A}$to $\mathrm{B}$ through a highway which was too long. Rohit used Google maps to find a short way out so that he could save fuel and contribute less towards environmental pollution. He did find a shorter way and decided to travel through the shorter way.

Read the above passage and answer the following:
A body travels $3\frac{1}{4}$ rounds in a circular path of radius $5 \mathrm{m}$. What is the magnitude of displacement?

Mamta a student of class $\mathrm{X}$, while crossing the road in front of her school gate barely missed an accident. A car was going very fast from that road and as she was very alert, she had to respond very fast to avoid a hit from the car. She thought that had there been another student of class $\mathrm{V}$or so, probably the car would have hit that student. Next day she discussed this incident with her school principal and suggested to fix a sign board indicating speed limit and also for writing a letter to the municipal corporation to build speed bump before and after all the schools in her city.
Define speed.

Mamta a student of class $\mathrm{X}$, while crossing the road in front of her school gate barely missed an accident. A car was going very fast from that road and as she was very alert, she had to respond very fast to avoid a hit from the car. She thought that had there been another student of class $\mathrm{V}$or so, probably the car would have hit that student. Next day she discussed this incident with her school principal and suggested to fix a sign board indicating speed limit and also for writing a letter to the municipal corporation to build speed bump before and after all the schools in her city.
How do speed bump help to reduce the speed?