The following displacement $-$ time graph shows the positions of a body at different times, Calculate the velocity of the body as it moves from : $(i) A-B \,(i i) B-C$ $(iii)$ $C-D$.
Velocity is given by the slope of the graph,
$(i)$ $\quad V _{ AB }=\frac{(3-0)}{(5-2)}=1 m s ^{-1}$
$(ii)$ $\quad V _{ BC }=\frac{(0)}{(7-5)}=0 m s ^{-1}$
$(iii)$ $\quad V_{ CD }=\frac{(0-3)}{(10-7)}=-1 m s ^{-1}$
A girl walks along a straight path to drop a letter in the letterbox and comes back to her initial position. Her displacement-time graph is shown in Fig. Plot a velocity - time graph for the same.
Following figure is the speed-time graph for a rocket from the moment when the fuel starts to burn, i.e. at time $t=0$.
$(a)$ State the acceleration of the rocket at $t=0$.
$(b)$ State what happens to the acceleration of the rocket between $t=5 s$ and $t=60 s$.
$(c)$ Calculate the acceleration of rocket at $t=80 s$ Give reason for your answer.
$(d)$ The total mass of the rocket at $t=80\, s$ is $1.6 \times 10^{6}\, kg .$ Calculate the resultant force on the rocket at this time. Give reason for your answer.
A bus decreases its speed from $80\, km\, h^{-1}$ to $50 \,km h ^{-1}$ in $4\, s$. Find the acceleration of the bus.
A cyclist driving at $36\, km h^{-1}$ stops his cycle in $2\, s$ by the application of brakes. Calculate $(i)$ retardation $(ii)$ distance covered during the application of brakes.
A car manufacturer advertises that the brakes are so perfect that the car stops instantaneously. Comment.