What is velocity$-$time graph ? State how it can be used to find
$(i)$ the acceleration of a body,
$(ii)$ the displacement of the body,
$(iii)$ the distance travelled in a given time.
What is velocity$-$time graph ? State how it can be used to find
$(i)$ the acceleration of a body,
$(ii)$ the displacement of the body,
$(iii)$ the distance travelled in a given time.
In the velocity-time graph, time is taken along the $x-$axis and velocity is taken along the $y-$ axis.
$(i)$ Since acceleration $=$ Change in velocity $/$ Time. Therefore, the slope of the velocitytime graph gives the acceleration. If the slope is positive, it is accelerated motion and if the slope is negative, the motion is retarded.
$(ii)$ Since velocity $\times$ time $=$ displacement. The area enclosed above the time axis represents positive displacement and the area enclosed below the time axis represents negative displacement. The total displacement is obtained by adding them numerically with proper sign.
$(iii)$ The total distance travelled by the body is their arithmetic sum (without sign).
Similar Questions
A body can have zero average velocity but not zero average speed. Justify giving an example.
A body can have zero average velocity but not zero average speed. Justify giving an example.
$(i)$ What can be depicted from the graph regarding the motion of the object ?
$(ii)$ Find the value of acceleration from the graph.
$(i)$ What can be depicted from the graph regarding the motion of the object ?
$(ii)$ Find the value of acceleration from the graph.
A person travelling in a bus noted the timings and the corresponding distances as indicated on the km stones. (a) Name this type of table $(b)$ What conclusion do you draw from this data ?
Time
Distance
$8.00\, am$
$10\, km$
$8.15 \,am$
$20 \,km$
$8.30\, am$
$30\, km$
$8.45\, am$
$40\, km$
$9.00\, am$
$50\, km$
A person travelling in a bus noted the timings and the corresponding distances as indicated on the km stones. (a) Name this type of table $(b)$ What conclusion do you draw from this data ?
| Time | Distance |
| $8.00\, am$ | $10\, km$ |
| $8.15 \,am$ | $20 \,km$ |
| $8.30\, am$ | $30\, km$ |
| $8.45\, am$ | $40\, km$ |
| $9.00\, am$ | $50\, km$ |
The velocity$-$time graph of a truck is plotted below
$(a)$ Calculate the magnitude of displacement of the truck in $15$ seconds.
$(b)$ During which part of the journey was the truck decelerating ?
$(c)$ Calculate the magnitude of average velocity of the truck.
The velocity$-$time graph of a truck is plotted below
$(a)$ Calculate the magnitude of displacement of the truck in $15$ seconds.
$(b)$ During which part of the journey was the truck decelerating ?
$(c)$ Calculate the magnitude of average velocity of the truck.
$(a)$ Write differences between speed and velocity.
$(b)$ The speed of a moving object is $x m s ^{-1}$. Its velocity is $y m s ^{-1}$. What is the similarity observed ?
$(a)$ Write differences between speed and velocity.
$(b)$ The speed of a moving object is $x m s ^{-1}$. Its velocity is $y m s ^{-1}$. What is the similarity observed ?