A particle starting from rest, moves with a uniform acceleration and covers $x$ meters in the first $5\, second$. The same particle will cover the following distance in the next $5\, seconds$ :-
A motor car moving at a speed of $72\,km / h$ cannot come to a stop in less than $3.0\,s$ while for a truck this time interval is $5.0\,s$. On a highway, the car is behind the truck both moving at $72\,km / h$. The truck gives a signal that it is going to stop at emergency. At what distance the car should be from the truck so that it does not bump onto (collide with) the truck. Human response time is $0.5\,s ...........\,m$
The velocity $v$ of a particle moving along $x$-axis varies with its position $(x)$ as $v=\alpha \sqrt{x}$; where $\alpha$ is a constant. Which of the following graph represents the variation of its acceleration (a) with time $(t)$ ?
A bullet moving with a velocity of $200 \,cm/s$ penetrates a wooden block and comes to rest after traversing $4 \,cm$ inside it. What velocity is needed for travelling distance of $9 \,cm$ in same block..........$cm/s$