- Home
- Standard 9
- Science
Study the given graph and answer the following questions
$(i)$ Which part of the graph shows accelerated motion ?
$(ii)$ Which part of the graph shows retarded motion ?
$(iii)$ Calculate the distance travelled by the body in first $4$ seconds of journey graphically.
Solution
$(i)$ The part $AB$ of the graph shows acceleration.
$(ii)$ The part $CD$ of the graph shows retardation.
$(iii)$ Distance travelled is equal to the area under the $v-t$ graph.
Thus, $S=$ Area of $\Delta AEB =1 / 2 \times AE \times EB$
$=1 / 2 \times 4 \times 4=8 m$
Similar Questions
A truck is moving on a straight road with uniform acceleration. The following table gives the speed of the truck at various instants of time.
| Speed $\left(m s^{-1}\right)$ | $5$ | $10$ | $15$ | $20$ | $25$ | $30$ |
| Time $(s)$ | $0$ | $10$ | $20$ | $30$ | $40$ | $50$ |
Draw the speed-time graph by choosing a convenient scale. Determine from it
$(i)$ the acceleration of truck
$(ii)$ the distance travelled by the truck in $50$ seconds.
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 $.
