Write true or false for the following statements

A motion is said to be uniform, if a body undergoes equal displacements in equal intervals of time.

$(a)$ Define acceleration.

$(b)$ A stone describes a circular path with a constant speed. State the type of motion of the stone.

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

An object starts a linear motion with velocity $'u^{\prime}$ and with uniform acceleration ' $a^{\prime}$, it acquires a velocity $'v^{\prime}$ in timet

$(a)$ Draw its velocity$-$time graph.

$(b)$ Obtain Ist equation of motion, $v=u+a t,$ for velocity $-$ time relation by using velocity$-$time graph.

$(c)$ A body moving with a velocity of $2\, m s ^{-1}$ acquires a velocity of $10 \,m s ^{-1}$ in $5\, s$. Find its acceleration.

A girl walks along a straight path to drop a letter in the letterbox and comes back to her initial position. Her displacement-time graph is shown in Fig. Plot a velocity - time graph for the same.

Derive the equation $v^{2}-u^{2}=2 a S$ graphically.