Can a particle be accelerated

$(i)$ if its speed is constant ?

$(ii)$ if its velocity is constant ?

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$(i)$ Yes. A particle moving with constant speed can be accelerated.

$(ii)$ No.

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Mention some uses of velocity$-$time graphs.

A cyclist travels a distance of $4\, km$ from $P$ to $Q$ and then moves a distance of $3\, km$ right angle to $PQ$. Find his resultant displacement graphically.

Area under velocity$-$time graph is equal to the

The velocity$-$time graph of a car is given below. The car weighs $1000\, kg$.

$(i)$ What is the distance travelled by the car in the first $2$ seconds ?

$(ii)$ What is the braking force at the end of $5$ seconds to bring the car to a stop within one second ?

If the displacement of a body is proportional to the square of the time elapsed, what type of motion does the body possess ?