Write any two equations of motion for a body having uniform acceleration.
$(i)$ $v=u+a t$ and $(i i) S=u t+1 / 2 a t^{2}$
A motor bike running at $90 \,km h ^{-1}$, is slowed down to $54 \,km h^{-1}$ by the application of brakes, over a distance of $40\, m$. If the brakes are applied with the same force, calculate $(i)$ total time in which bike comes to rest $(ii)$ total distance travelled by bike.
If the displacement of a body is proportional to the square of the time elapsed, what type of motion does the body possess ?
Ravi told his friend that his house is $1 \,km$ toward south from the main Post Office. Express displacement and the distance moved by the friend from the Post Office when he arrives at Ravi's house. Mention the reference point chosen by you.
$(a)$ Differentiate between speed and velocity.
$(b)$ When is a body said to have uniform velocity ?
$(c)$ How can we describe the position of an object ? Illustrate with suitable example.
Distinguish between terms distance and displacement.
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