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

A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform electric field $\vec{E}$. Due to the force $q\vec{E}$, its velocity increases from 0 to $6ms^{-1}$ in one second…

The displacement-time graphs of two moving particles make angles of $30^{\circ}$and $45^{\circ}$with the $x$-axis as shown in the figure. The ratio of their respective velocity is:

A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is :

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time $t_{1}$. On other days, if she remains stationary on the moving escalator, then the escalator…

A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity $4ms^{-1}$. The ball strikes the water surface after $4s$. The height of bridge above…

A body of mass $2\mathrm{kg}$ moves under a force of$\left(2\hat{i}+3\hat{j}+5\hat{k}\right)N$ It starts from rest and was at the origin initially. After $4s$, its new coordinates are $\left(8,b,20\right)$. The value of…

If the velocity of a body related to displacement $x$is given by $v=\sqrt{5000+24x}ms^{-1},$then the acceleration of the body is _________$ms^{-2}.$

From $18$ m height above the ground a ball is dropped from rest. The height above the ground at which the magnitude of velocity equal to the magnitude of acceleration (in the same set of units) due to gravity is _____…

A ball is thrown vertically upwards with a velocity of $19.6ms^{-1}$ from the top of a tower. The ball strikes the ground after $6s$. The height from the ground up to which the ball can rise will be…

Two cars are travelling towards each other at speed of $20 \mathrm{~m} \mathrm{~s}^{-1}$ each. When the cars are $300 \mathrm{~m}$ apart, both the drivers apply brakes and the cars retard at the rate of $2 \mathrm{~m}…