Using following data, draw time-displacement graph for a moving object :
Time $(s)$ | $0$ | $2$ | $4$ | $6$ | $8$ | $10$ | $12$ | $14$ | $16$ |
Displacement $(m)$ | $0$ | $2$ | $4$ | $4$ | $4$ | $6$ | $4$ | $2$ | $0$ |
Use this graph to find average velocity for first $4\,\sec $, for next $4\,\sec $ and for last $6\,\sec $.
Average velocity for first $4\,\sec $
Average velocity $=\frac{\text { change in displacement }}{\text { Total time taken }}$
$v=\frac{4-0}{4-0}=\frac{4}{4}=1 \,ms ^{-1}$
For next $4\sec $ , $v=\frac{4-4}{8-4}=\frac{0}{4}=0 \,ms ^{-1}$
(or as $x$ remains the same from $4$ to $8\,\sec $, velocity is zero)
For last $6\,\sec , v=\frac{0-6}{16-10}=-\,1\,m s^{-1}$
Under what conditions of motion, the distance covered by a body is equal to the magnitude of its displacement ?
$(a)$ Derive graphically the equation for velocity$-$time relation.
$(b)$ Name the device used to measure distance travelled by a vehicle.
$(c)$ Can displacement of a moving object be zero ? Give reason.
If the displacement-time graph for a particle is parallel to displacement axis, what is the velocity of the particle ?
Study the speed$-$time graph of a car below and answer the following questions
$(a)$ What type of motion is represented by $OA$ ?
$(b)$ Find acceleration from $B$ to $C$.
$(c)$ Calculate the distance covered by the body from $A$ to $B$.
Write true or false for the following statements
Acceleration is defined as the rate of change of velocity.