A particle is moving in a straight line with initial velocity $u$ and uniform acceleration $a$. If the sum of the distances travelled in $t^{th}$ and $(t+1{)}^{th}$ seconds is $100 \mathrm{cm}$, then its velocity after $t$ seconds in $\mathrm{cm} {\mathrm{s}}^{-1}$ is

A dancer is demonstrating dance steps long a straight line. The position - time graph is given here.

The average speed for the dance step depicted by $CD$ is

A dancer is demonstrating dance steps along a straight line. The position - time graph is given here.

Figure shows the $x-t$ plot of a particle in one-dimensional motion. Two different equal intervals of time are shown. Let $v_1$ and $v_2$ be average speeds in time intervals $1$ and $2$ respectively. Then,

Consider the given statements and select the option which correctly identifies the true (T) and false (F) statements.

(i) Distance is the magnitude of displacement in all cases.

(ii) When a body moves with uniform speed, then the average speed is same as instantaneous speed.

(iii) Average speed is greater than the average velocity if a body is moving in a straight line without reversing its direction.

(iv) When a body moves with constant velocity, the average velocity is zero.

Match the column I with column II and mark the correct option from the codes given below.

What would you conclude about the velocity-time graph of the cyclist from the given graph?