Using following data, draw time-displacement graph for a moving object :
Time $(s)$ | $0$ | $2$ | $4$ | $6$ | $8$ | $10$ | $12$ | $14$ | $16$ |
Displacement $(m)$ | $0$ | $2$ | $4$ | $4$ | $4$ | $6$ | $4$ | $2$ | $0$ |
Use this graph to find average velocity for first $4\,\sec $, for next $4\,\sec $ and for last $6\,\sec $.
Give one example for each of the type of motion when
$(i)$ acceleration is in the direction of motion.
$(ii)$ acceleration is against the direction of motion.
$(iii)$ acceleration is uniform.
Four cars $A$, $B$, $C$ and $D$ are moving on a levelled road. Their distance versus time graphs are shown in Fig. Choose the correct statement
Account for the following
$(a)$ Name the quantity which is measured by the area occupied below the velocity$-$time graph.
$(b)$ An object is moving in a certain direction with acceleration in the perpendicular directions.
$(c)$ Under what condition is the magnitude of average velocity of an object equal to its average speed ?
$(d)$ An example of uniformly accelerated motion.
$(e)$ A body is moving along a circular path of radius
$(r)$. What will be the distance and displacement of the body when it completes half revolution ?
The following table show os the positon of three persons between $8.00\, am$ to $8.20\, am$.
Time | Position (in $km$) | ||
Person $A$ | Person $B$ | Person $C$ | |
$8.00 \,am$ | $0$ | $0$ | $0$ |
$8.05 \,am$ | $4$ | $5$ | $10$ |
$8.10\, am$ | $13$ | $10$ | $19$ |
$8.15 \,am$ | $20$ | $15$ | $24$ |
$8.20\, am$ | $25$ | $20$ | $27$ |
$(i)$ Who is moving with constant speed ?
$(ii)$ Who has travelled maximum distance between $8.00\, am$ to $8.05\, am$ ?
$(iii)$ Calculate the average speed of person $'A^{\prime}$ in $k m h^{-1}$