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 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

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 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…

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…

The velocity ($v$) versus time ($t$) plot of a particle is shown in the figure, for a time interval of $40\text{ s}$. The total distance travelled by the particle and the average velocity during this period are,…

The displacement x versus time graph is shown below. (A) The average velocity during 0 to 3 s is $10 \mathrm{~m} / \mathrm{s}$ (B) The average velocity during 3 to 5 s is $0 \mathrm{~m} / \mathrm{s}$ (C) The…

A sportsman runs around a circular track of radius $r$ such that he traverses the path $A B A B$. The distance travelled and displacement, respectively, are

Train A is moving along two parallel rail tracks towards north with$72kmh^{-1}$and train$B$is moving towards south with speed$108kmh^{-1}$. Velocity of train$B$with respect to$A$and velocity of ground with respect…

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}…

A car travels a distance of$x$ with speed$v_{1}$and then same distance$x$ with speed$v_{2}$in the same direction. The average speed of the car is: