What do you understand by the displacement$-$time graph ? Draw a displacement-time graph for a girl going to school with uniform velocity. How can we calculate the uniform velocity from it ?
What do you understand by the displacement$-$time graph ? Draw a displacement-time graph for a girl going to school with uniform velocity. How can we calculate the uniform velocity from it ?
In the displacement-time graph, the time is taken on the $x -$axis and the displacement of the body is taken on the $y -$axis. Since
Velocity $=$ Displacement $/$ Time,
therefore, the slope of the displacement-time graph gives the velocity. For example, a girl is going to school on a straight path in a given direction with a uniform speed. The velocity of the girl can be obtained by finding the slope of the straight line $OP.$
The velocity of the girl can be calculated as below
$v=\frac{ BC }{ AC }=\frac{ ED }{ GF }=\frac{(40-20)}{(4-2)}=10 m s ^{-1}$
Similar Questions
Write true or false for the following statements
A motion is said to be uniform, if a body undergoes equal displacements in equal intervals of time.
Write true or false for the following statements
A motion is said to be uniform, if a body undergoes equal displacements in equal intervals of time.
$(a)$ Differentiate acceleration from velocity.
$(b)$ Can a body have acceleration without change in magnitude of velocity ? Explain with an example.
$(c)$ A motor boat starting from rest on a lake accelerates in a straight line at a constant rate of $3\, m s ^{-2}$ for $8 \,s$. How far does the boat travel during this time ?
$(a)$ Differentiate acceleration from velocity.
$(b)$ Can a body have acceleration without change in magnitude of velocity ? Explain with an example.
$(c)$ A motor boat starting from rest on a lake accelerates in a straight line at a constant rate of $3\, m s ^{-2}$ for $8 \,s$. How far does the boat travel during this time ?
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.
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.
The velocity$-$time graph of an ascending passenger lift is as in the figure shown below
$(i)$ Identify the kind of motion of lift represented by lines $OA$ and $BC$.
$(ii)$ Calculate the acceleration of the lift
$(a)$ During the first two seconds.
$(b)$ Between the $3^ {r d}$ and $10^ {t h}$ second.
$(c)$ During the last two seconds.
The velocity$-$time graph of an ascending passenger lift is as in the figure shown below
$(i)$ Identify the kind of motion of lift represented by lines $OA$ and $BC$.
$(ii)$ Calculate the acceleration of the lift
$(a)$ During the first two seconds.
$(b)$ Between the $3^ {r d}$ and $10^ {t h}$ second.
$(c)$ During the last two seconds.
Draw the distance$-$time graph for the following situations
$(a)$ When a body is stationary.
$(b)$ When a body is moving with a uniform speed.
$(c)$ When a body is moving with non$-$uniform speed.
Draw the distance$-$time graph for the following situations
$(a)$ When a body is stationary.
$(b)$ When a body is moving with a uniform speed.
$(c)$ When a body is moving with non$-$uniform speed.