Name the physical quantities denoted by

$(i)$ The slope of the distance$-$time graph.

$(ii)$ The area under velocity$-$time graph.

$(iii)$ The slope of velocity$-$time graph.

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$(i)$ Speed

$(ii)$ Distance

$(iii)$ Acceleration

Similar Questions

A car manufacturer advertises that the brakes are so perfect that the car stops instantaneously. Comment.

The following table show os the positon of three persons between $8.00\, am$ to $8.20\, am$.

Time Position (in $km$)  
Person $A$ Person $B$ Person $C$
$8.00 \,am$ $0$ $0$ $0$
$8.05 \,am$ $4$ $5$ $10$
$8.10\, am$ $13$ $10$ $19$
$8.15 \,am$ $20$ $15$ $24$
$8.20\, am$ $25$ $20$ $27$

 $(i)$ Who is moving with constant speed ?

$(ii)$ Who has travelled maximum distance between $8.00\, am$ to $8.05\, am$ ?

$(iii)$ Calculate the average speed of person $'A^{\prime}$ in $k m h^{-1}$

A car is moving on a straight road with uniform acceleration. The following table gives the speed of the car at various instants of time.

Time $(s)$ $0$ $10$ $20$ $30$ $40$ $50$
Speed $\left(m s^{-1}\right)$ $5$ $10$ $15$ $20$ $25$ $30$

$(i)$ Draw the speed$-$time graph representing the above set of observations.

$(ii)$ Find the acceleration of the car.

Can a body have constant speed and still be accelerating ?

A body moves with a velocity of $2\, m s ^{-1}$ for $5\, s$, then its velocity increases uniformly to $10\, m s ^{-1}$ in next $5\, s.$ Thereafter, its velocity begins to decrease at a uniform rate until it comes to rest after $5\, s$.

$(i)$ Plot a velocity-time graph for the motion of the body.

$(ii)$ From the graph, find the total distance covered by the body after $2\, s$ and $12\, s$.