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
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 ?
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 ?
The numerical ratio of displacement to distance for a moving object is
The numerical ratio of displacement to distance for a moving object is
Give examples to distinguish
$(i)$ Distance and displacement.
$(ii)$ Speed and velocity.
$(iii)$ Acceleration and retardation.
Give examples to distinguish
$(i)$ Distance and displacement.
$(ii)$ Speed and velocity.
$(iii)$ Acceleration and retardation.
$(i)$ 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.
Diagram shows a velocity$-$time graph for a car starting from rest. The graph has three sections $A B$, $B C$ and $C D$
$(i)$ From a study of this graph, state how the distance travelled in any section is determined.
$(ii)$ Compare the distance travelled in section $BC$ with distance travelled in section $A B$.
$(iii)$ In which section car has zero acceleration ?
$(iv)$ Is the magnitude of acceleration higher or lower than, that of retardation ? Give reason.
Diagram shows a velocity$-$time graph for a car starting from rest. The graph has three sections $A B$, $B C$ and $C D$
$(i)$ From a study of this graph, state how the distance travelled in any section is determined.
$(ii)$ Compare the distance travelled in section $BC$ with distance travelled in section $A B$.
$(iii)$ In which section car has zero acceleration ?
$(iv)$ Is the magnitude of acceleration higher or lower than, that of retardation ? Give reason.