Motion In One Dimension

A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point

A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point

The velocity-time graph of a body moving in astraight line is shown in figure. The ratio of displacement and distance travelled by the body in time$0$to$10s$is

A scooter accelerates from rest for time $t_{1}$ at constant rate $a_{1}$ and then retards at constant rate $a_{2}$ for time$t_{2}$ and comes to rest. The correct value of $\frac{t_{1}}{t_{2}}$ will be :

As shown in the figure, a particle is moving with constant speed $\pi\,ms^{-1}$. Considering its motion from$A$ to $B$, the magnitude of the average velocity is:

A car accelerates from rest at a constant rate $\alpha\,$ for some time after which it decelerates at a constant rate $\beta\,$ to come to rest. If the total time elapsed is t seconds, the total distance travelled is:

An object moves with speed $v_{1},v_{2}\text{and}v_{3}$ along a line segment $AB,BC\text{and}CD$ respectively as shown in figure. Where $AB=BC\text{and}AD=3AB$, then average speed of the object will be :

Match Column-I with Column-II : Column-I (x-t graphs) Column-II (v-t graphs) A I B II C III D IV Choose the correct answer from the options given below:

A bullet loses $\left(\frac{1}{n}\right)^{\mathrm{th}}$of its velocity passing through one plank. Considering uniform retardation, the number of such planks that are required to stop the bullet can be:

When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed$v$, he sees that rain drops coming at an angle$60^{\circ\,}$from the horizontal. On further increasing the…

A balloon is moving up in air vertically above a point $A$ on the ground. When it is a height $h_{1},$agirl standing at a distance d (point B) from A (see figure) sees it at an angle $45^{\circ}$ with respect to the…

A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height $h$. Find the ratio of the times in which it is at height $\frac{h}{3}$ while going up and coming down respectively?