Motion In One Dimension

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 :

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…

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

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

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 bullet from a gun is fired on a rectangular wooden block with velocity \$u$. When bullet travels \$24cm$ through the block along its length horizontally, velocity of bullet becomes \$\frac{u}{3}$. Then it further…

Two particles A and B move with constant velocities \$v\to_{1}$ and \$v\to_{2}$. At the initial moment their position vectors are \$r\to_{1}$ and \$r\to_{2}$ respectively. The condition for particles A and B for their…

A particle is moving such that its position coordinates \$(x,y)$ are \$(2m,3m)$ at time \$t=0,$ \$(6m,7m)$ at time \$t=2s$ and \$(13m,14m)$ at time \$t=5s$. The average velocity vector \$(V\to_{av})$ from \$t=0$ to…

The position vector of a particle R$\rightarrow$ as a function of time is given by:R$\rightarrow$=4sin⁡2$\pi$ti^+4cos⁡(2$\pi$t)j^Where R is in meters, t is in seconds and i^ and j^ denote unit vectors along x- and…

A particle moves so that its position vector is given by \$r\to=cos\omegatx^+sin\omegaty^\$, where \$\omega$ is a constant. Which of the following is true?