The velocity$-$time graph of a truck is plotted below
$(a)$ Calculate the magnitude of displacement of the truck in $15$ seconds.
$(b)$ During which part of the journey was the truck decelerating ?
$(c)$ Calculate the magnitude of average velocity of the truck.
$(a)$ Displacement $=$ area under the graph
Area $=1 / 2 \times 5 \times 4+7 \times 4+1 / 2 \times 3 \times 4=44 m$
$(b)$ From $12$ to $15$ sec period.
$(c)$ Average velocity $=44 / 15=2.93 m s ^{-1}$
A body is thrown vertically upward with velocity $u$, the greatest height $h$ to which it will rise is,
What can we conclude about the motion of a body depicted by following velocity$-$time graphs ?
The velocity-time graph of cars $A$ and $B$ which start from the same place and move along a straight road in the same direction is shown below
Calculate :
$(a)$ the acceleration of car $B$ between $2 \,s$ and $4\, s$.
$(b)$ the time at which both the cars have the same velocity.
$(c)$ the distance travelled by the two cars $A$ and $B$ in $8\, s$
$(d)$ Which of the two cars is ahead after $8\, s$ and by how much ?
The graph given below is the distance$-$time graph of an object.
$(i)$ Find the speed of the object during first four seconds of its journey.
$(ii)$ How long was it stationary ?
$(iii)$ Does it represent a real situation ? Justify your answer.
A moving body is covering a distance directly proportional to the square of time. The acceleration of the body is