$(a)$ A car moving with uniform velocity $'u^{\prime}$ and uniform acceleration $'a^{\prime}$ covers a distance $'S^{\prime}$ in time $'t^{\prime}$. Draw its velocity $-$ time graph and derive an expression relating all the given physical quantities.
$(b)$ A boy revolves a stone tied to a string $0.7 \,m$ long. Find the distance and displacement covered by the stone in completing two revolutions from starting point.
$(a)$ A car moving with uniform velocity $'u^{\prime}$ and uniform acceleration $'a^{\prime}$ covers a distance $'S^{\prime}$ in time $'t^{\prime}$. Draw its velocity $-$ time graph and derive an expression relating all the given physical quantities.
$(b)$ A boy revolves a stone tied to a string $0.7 \,m$ long. Find the distance and displacement covered by the stone in completing two revolutions from starting point.
$(a)$ See long answer type questions.
$(b)$ Given $r=0.7 m ,$ Distance $=?$, Displacement $=?$
Distance $=2 \times 2 \pi r=2 \times 2 \times 3.14 \times 0.7$
$=8.792 m$
Displacement $=0$
Similar Questions
A truck is moving on a straight road with uniform acceleration. The following table gives the speed of the truck at various instants of time.
Speed $\left(m s^{-1}\right)$
$5$
$10$
$15$
$20$
$25$
$30$
Time $(s)$
$0$
$10$
$20$
$30$
$40$
$50$
Draw the speed-time graph by choosing a convenient scale. Determine from it
$(i)$ the acceleration of truck
$(ii)$ the distance travelled by the truck in $50$ seconds.
A truck is moving on a straight road with uniform acceleration. The following table gives the speed of the truck at various instants of time.
| Speed $\left(m s^{-1}\right)$ | $5$ | $10$ | $15$ | $20$ | $25$ | $30$ |
| Time $(s)$ | $0$ | $10$ | $20$ | $30$ | $40$ | $50$ |
Draw the speed-time graph by choosing a convenient scale. Determine from it
$(i)$ the acceleration of truck
$(ii)$ the distance travelled by the truck in $50$ seconds.
A car manufacturer advertises that the brakes are so perfect that the car stops instantaneously. Comment.
A car manufacturer advertises that the brakes are so perfect that the car stops instantaneously. Comment.
What kind of motion of a body is represented by the graphs given below ?
What kind of motion of a body is represented by the graphs given below ?
The branch of Physics which deals with the motion of objects while taking into consideration the cause of motion is
The branch of Physics which deals with the motion of objects while taking into consideration the cause of motion is
What can you conclude about the motion of a body depicted by the velocity-time graphs $(i), (ii)$ and $(iii)$ given below ?
What can you conclude about the motion of a body depicted by the velocity-time graphs $(i), (ii)$ and $(iii)$ given below ?