An object is moving along a straight line with uniform acceleration. The following table gives the velocity of the object at various instants of time
Time $(s)$
$0$
$1$
$2$
$3$
$4$
$5$
$6$
Velocity $\left( m s ^{-1}\right)$
$2$
$4$
$6$
$8$
$10$
$12$
$14$
Plot the graph.
From the graph.
$(i)$ Find the velocity of the object at the end of $2.5 sec$
$(ii)$ Calculate the acceleration.
$(iii)$ Calculate' the distance covered in the last $4$ sec.
An object is moving along a straight line with uniform acceleration. The following table gives the velocity of the object at various instants of time
| Time $(s)$ | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ |
| Velocity $\left( m s ^{-1}\right)$ | $2$ | $4$ | $6$ | $8$ | $10$ | $12$ | $14$ |
Plot the graph.
From the graph.
$(i)$ Find the velocity of the object at the end of $2.5 sec$
$(ii)$ Calculate the acceleration.
$(iii)$ Calculate' the distance covered in the last $4$ sec.
$(i)$ $v=7 m s ^{-1}$
$(ii)$ $\quad a=\frac{v-u}{t}=\frac{14-2}{6}=2 m s ^{-2}$
$(iii)$ $S =$ Area under the graph
$=$ Area of the trapezium $ABCD$
$=\frac{1}{2}[ AD + BC] \times CD$
$=\frac{1}{2}[6+14] \times 4=40 m$
Similar Questions
What is the average velocity of a particle when it returns to the starting point ? Can its average speed be zero ?
What is the average velocity of a particle when it returns to the starting point ? Can its average speed be zero ?
The distance$-$time graph of two trains are given below. The trains start simultaneously in the same direction.
$(i)$ How much ahead of $A$ is $B$ when the motion starts ?
$(ii)$ What is the speed of $B$ ?
$(iii)$ When and where $A$ will catch $B$ ?
$(iv)$ What is the difference between the speeds of $A$ and $B$ ?
$(v)$ Is the speed of either trains uniform or non uniform ? Justify your answer.
The distance$-$time graph of two trains are given below. The trains start simultaneously in the same direction.
$(i)$ How much ahead of $A$ is $B$ when the motion starts ?
$(ii)$ What is the speed of $B$ ?
$(iii)$ When and where $A$ will catch $B$ ?
$(iv)$ What is the difference between the speeds of $A$ and $B$ ?
$(v)$ Is the speed of either trains uniform or non uniform ? Justify your answer.
A car travels $100\, km$ east and then $100 \,km$ south. Finally, it comes back to the starting point by the south-east route. Throughout the journey the speed is constant at $60\, km h ^{-1}$. The average velocity for the whole journey if time taken is $3.3$ hours is
A car travels $100\, km$ east and then $100 \,km$ south. Finally, it comes back to the starting point by the south-east route. Throughout the journey the speed is constant at $60\, km h ^{-1}$. The average velocity for the whole journey if time taken is $3.3$ hours is
Explain with reason, which of the following graphs can possibly represent the motion of a particle observed in nature ?
Explain with reason, which of the following graphs can possibly represent the motion of a particle observed in nature ?
Account for the following
$(a)$ What is the shape of the path of a body when it is in uniform motion ?
$(b)$ Give one example of non$-$uniform motion.
$(c)$ Two cars $A$ and $B$ have their $x-t$ graph as shown in figure. Which has greater velocity ?
$(d)$ What is the quantity which is measured by the area occupied below the velocity$-$time graph ?
$(e)$ A body is moving with a velocity of $10\, m s ^{-1}$. If the motion is uniform, what will be the velocity after $10\, s$ ?
Account for the following
$(a)$ What is the shape of the path of a body when it is in uniform motion ?
$(b)$ Give one example of non$-$uniform motion.
$(c)$ Two cars $A$ and $B$ have their $x-t$ graph as shown in figure. Which has greater velocity ?
$(d)$ What is the quantity which is measured by the area occupied below the velocity$-$time graph ?
$(e)$ A body is moving with a velocity of $10\, m s ^{-1}$. If the motion is uniform, what will be the velocity after $10\, s$ ?