Explain the following type of motion with one example of each
$(i)$ Acceleration is positive
$(ii)$ Acceleration is negative
$(iii)$ Acceleration is zero.
$(i)$ Here, the motion is accelerated motion. A car moving on a road with increasing velocity
$(ii)$ Here, the motion is retarded motion. Brakes applied to a moving car.
$(iii)$ Here, the motion is uniform motion. Motion of the second's hand a clock.
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.
A bus decreases its speed from $80\, km\, h^{-1}$ to $50 \,km h ^{-1}$ in $4\, s$. Find the acceleration of the bus.
The speed$-$time graph of a body is a straiaht line parallel to time axis. The body has
$(a)$ Derive second equation of motion $S=u t+\frac{1}{2} a t^{2}$ graphically where the symbols have their usual meanings.
$(b)$ A car accelerates uniformly from $18\, km h ^{-1}$ to $36\, km h^{-1}$ in $5$ seconds. Calculate the acceleration and the distance covered by the car in that time.
What kind of motion of a body is represented by the graphs given below ?