The acceleration-time graph for a body is shown in the graph. Which of the following graphs would probably represent velocity of the body plotted against time:-
A particle moves a distance $x$ in time $t$ according to equation $x = (t + 5)^{-1}$ The acceleration of particle is proportional to
The velocity versus time graph of a body moving in a straight line is as shown in the figure below
A dancer moves counterclockwise at constant speed around the path shown below. The path is such that the lengths of its segments, $PQ, QR, RS$, and $SP$, are equal. Arcs $QR$ and $SP$ are semicircles. Which of the following best represents the magnitude of the dancer’s acceleration as a function of time $t$ during one trip around the path, beginning at point $P$ ?
The velocity of a body depends on time according to the equation $v=\frac{t^2}{10}+20$. The body is undergoing
If the velocity $v$ of a particle moving along a straight line decreases linearly with its displacement $s$ from $20\,ms ^{-1}$ to a value approaching zero at $s=30\,m$, then acceleration of the particle at $s=15\,m$ is $........$