A train $100 \,m$ long is moving with a velocity of $60\, km h^{-1}$. Find the time it takes to cross the bridge $1\, km$ long.
Given length' of train $=100 m$, length of bridge $=1 km =1000 m , v=60 km h ^{-1}$
Total distance to cover $100+1000=1100 m$
Therefore, time taken
$t=\frac{S}{v}=\frac{1100 \times 18}{60 \times 5}=66 s$
What is the nature of the displacement$-$time graph of a body moving with constant velocity ?
A cyclist driving at $5\, m s ^{-1}$ picks a velocity of $10\, m s ^{-1}$ over a distance of $50\, m$. Calculate $(i)$ acceleration $(ii)$ time in which the cyclist picks up the above velocity.
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 cheetah can accelerate from rest at the rate of $4 m s^{-2}$
$(i)$ What will be the velocity attained by it in $10\, s$ ?
$(ii)$ How far will it travel in this duration ?
The displacement $-$ time graph of a body is parallel to time axis. What will you infer about the velocity of the body ?