If the acceleration of a particle is constant in magnitude but not in direction, what type of path is followed by the particle ?

Name the physical quantity which corresponds to the rate of change of momentum.

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 ?

Name a physical quantity that essentially changes as a body moves.

Draw the distance$-$time graph for the following situations

$(a)$ When a body is stationary.

$(b)$ When a body is moving with a uniform speed.

$(c)$ When a body is moving with non$-$uniform speed.

A particle accelerates from rest at a constant rate for sometime and attains a constant velocity of $8\, m s ^{-1}$. Afterwards it decelerates with a constant rate and comes to rest. If the total time taken is $4$ second, the distance travelled is