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.

1151-142

Vedclass pdf generator app on play store
Vedclass iOS app on app store

$(i)$ 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

What is the nature of the displacement$-$time graph of a body moving with constant velocity ?

What kind of motion of a body is represented by the graphs given below ?

Ali while driving to school computes the average speed for his trip to be $20\, km h^{-1}$. On his return trip along the same route there is less traffic and the average speed is $30\, km h^{-1} .$ What is the average speed for Ali's trip ?

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 velocity$-$time graph of a body has a negative slope. The body is undergoing