Study the speed$-$time graph of a body given below and answer the following questions

$(i)$ What type of motion is represented by $OA, AB$ and $BC$ ?

$(ii)$ Find positive and negative accelerations of the body.

$(iii)$ Find the distance travelled by the body from $A$ to $B$.

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$(i)$ $OA$ is uniform acceleration, $A B$ is uniform motion (Zero acceleration $-$ moving with constant velocity) and $BC$ is negative acceleration (Retardation)

$(ii)$ Acceleration $=$ slope of graph between

$OA =(6-0) / 4=1.5 m s ^{-2}$

Negative acceleration $=$ slope of graph

$B C=(0-6) / 6=-1 m s^{-2}$

$(iii)$ Distance travelled is the area under the graph between

$A$ to $B=6 \times 6=36 m$

Similar Questions

Draw displacement$-$time graphs for the following situations

$(i)$ When body is stationary.

$(ii)$ When body is moving with uniform velocity.

$(iii)$ When body is moving with variable velocity.

Two cars $A$ and $B$ have their displacement$-$time graph as given below. Which car has a greater velocity ?

There is an argument about uniform acceleration between $Mr$ $X$ and $Mr$ $Y.$ $Mr$ $X$ says "acceleration means that farther you go faster you go". $Mr$ $Y$ says "acceleration means that longer you go the faster you go". Whose statement is correct ?

In your everyday life, you come across a range of motions in which

$(a)$ acceleration is in the direction of motion.

$(b)$ acceleration is against the direction of motion.

$(c)$ acceleration is uniform.

$(d)$ acceleration is non$-$uniform.

Can you identify one example each of the above type of motion ?

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.