Draw and explain the $v \to t$ graphs for uniformly accelerated motion.
zVelocity-time graph for motion with constant acceleration are as following :
An object is moving in a positive direction with a positive acceleration, then graph $(a)$ is obtained.
An object is moving in positive direction with a negative acceleration, then graph$ (b)$ is obtained. An object is moving in negative direction with a negative acceleration, then graph $(c)$ is obtained.
An object is moving in positive direction till time $t_{1}$ and then turning back and moving with the same negative acceleration. This is shown in graph (d).
An interesting feature of a velocity-time graph for any moving object is that the area under the curve represents the displacement over a given time interval.
When the velocity of body is variable, then
The same retarding force is applied to stop a train. The train stops after $80\, m$. If the speed is doubled, then the stopping distance will be
A body moves from rest with a constant acceleration of $5\,m/{s^2}$. Its instantaneous speed (in $m/s)$ at the end of $10\, sec$ is
A man is at a distance of $6\,m$ from a bus. The bus begins to move with a constant acceleration of $3\,ms ^{-2}$. In order to catch the bus, the minimum speed with which the man should run towards the bus is $.........ms ^{-1}$