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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Can the speed of a body be negative ?

$(a)$ Differentiate between distance and displacement.

$(b)$ Under what conditions is the magnitude of average velocity of an object equal to its average speed ?

A boy hits a football high up into the air. He runs and catches the football before it hits the ground. Which of the two, the boy or the football has had greater displacement ?

The $v-t$ graph of cars $A$ and $B$ which start from the same place and move along straight road in the same direction, is shown. Calculate

$(i)$ the acceleration of car $A$ between $0$ and $8\, s$.

$(ii)$ the acceleration of car $B$ between $2\, s$ and $4\, s$.

$(iii)$ the points of time at which both the cars have the same velocity.

$(iv)$ which of the two cars is ahead after $8\, s$ and by how much ?

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