Motion In One Dimension

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?

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 :

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:

A particle is moving with constant acceleration $a.$ Following graph shows $v^{2}$ versus$x$(displacement) plot. The acceleration of the particle is _________$ms^{-2}.$

A car covers $AB$ distance with first one-third at velocity $v_{1}ms^{-1}$, second one-third at $v_{2}ms^{-1}$ and last one-third at $v_{3}ms^{-1}$. If $v_{3}=3v_{1},v_{2}=2v_{1}$ and $v_{1}=11ms^{-1}$, then the average…

A body falling under gravity covers two points $A$ and $B$separated by $80m$ in $2s$. The distance of upper point $A$ from the starting point is _____$m$. Use$\left(g=10ms^{-2}\right)$

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 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:

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 person standing on a spring balance inside a stationary lift measures $60\mathrm{kg}$. The weight of that person if the lift descends with uniform downward acceleration of $1.8ms^{-2}$ will be $N$.…

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…

Two cars $P$ and $Q$ are moving on a road in the same direction. Acceleration of car $P$ increases linearly with time whereas car $Q$ moves with a constant acceleration. Both cars cross each other at time $t=0$, for the…