Motion in A Str...

A bullet of mass m looses $$\left(\dfrac{1}{n}\right)^2$$ of its velocity passing through one plank. The number of such planks that are required to stop the bullet can be:

Newtons law are not valid in

Two cars $$A$$ and $$B$$ are initially $$100\ m$$ apart with $$A$$ behind $$B$$. Car $$A$$ starts from rest with a constant acceleration $$2\ m/s^{2}$$ towards car $$B$$ and at the same instant car $$B$$ starts moving with constant velocity $$10\ m/s$$ in the same direction. Time after which car $$A$$ overtakes car $$B$$ is:

A ball dropped from the top of the tower falls first half height of the tower in 10s. The total time spent by a ball in the air is $$\left[ {Take\;g = 10m/{s^2}} \right]$$ 

A body moves for a total of nine second starting from rest with uniform acceleration and then with uniform retardation, which is twice the value of acceleration and then stops. The duration of uniform acceleration

A car starts from rest and acceleration at $$4\ {m/s}^{2}$$ for $$5\ s$$. After that it moves with constant velocity for $$25\ s$$ and then retards at $$2\ m/s^{2}$$ until it comes to rest. The total distance travelled by the car is

An object starts 5m from origin and moves with an initial velocity of 5 $$m{s^{ - 1}}$$ and has an acceleration of 2 $$m{s^{ - 2}}$$. After 10 sec, the object is how far from the origin?

A car travelling with a velocity of $$80 km/h$$ slowed down to $$44 km/h$$ in $$15 s$$. The retardation is 

A train starts from rest from a station with acceleration  $$0.2\ m/{s^2}$$ on a straight track and then comes to rest after attaining maximum speed on another station due to retardation  $$0.4\ m/{s^2}$$. If total time spent is half an hour, then a distance between two stations is [ Neglect the length of the train]

A body moving along the positive $$x-axis$$ with uniform acceleration of $$ - 4m{s^{ - 2}}$$. Its velocity at $$x=0$$ is $$ 10m{s^{- 1}}$$. The time taken by the body to reach a point at $$ x = 12cm$$ is: