The velocity-time graph (Fig.) shows the motion of a cyclist. Find $(i)$ its acceleration $(ii)$ its velocity and $(iii)$ the distance covered by the cyclist in $15\,\sec $.
$0$, $20\, ms ^{-1}$, $300 \,m$
$10$, $20\, ms ^{-1}$, $30 \,m$
$0.5$, $20\, ms ^{-1}$, $0.30 \,m$
$0$, $0.2\, ms ^{-1}$, $300 \,m$
Velocity$-$time graph for the motion of an object in a straight path is a straight line parallel to the time axis.
$(a)$ Identify the nature of motion of the body.
$(b)$ Find the acceleration of the body.
$(c)$ Draw the shape of distance-time graph for this type of motion.
If the displacement-time graph for a particle is parallel to displacement axis, what is the velocity of the particle ?
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 ?
An object is moving with uniform speed in a circle of radius $7\, m .$ Calculate the distance and displacement when it completes half the circle. What type does the object possess ?
What can you conclude about the motion of a body depicted by the velocity$-$time graphs $(i),(i i)$ and $(i i i)$ given below