1

**JEE Mains**

**MCQ type questions**

The co-ordinates of a moving particle at any time $t$ are given by $x=αt_{3}$ and $y=βt_{3}$. The speed to the particle at time $t$ is given by

Two particles A and B move with velocities $v_{1}andv_{2}$ respectively along the x and y axis. The initial separation between them is 'd' as shown in the figure. Find the least distance between them during their motion

Which of the following position-time graphs shows an object that speeds up at first, travels at a constant velocity for a while, and then slows down?

A swimmer crosses a river with minimum possible time $10$ second. And when he reaches the other end starts swimming in the direction towards the point from where he started swimming. Keeping the direction fixed the swimmer crosses the river in $15$ sec. The ratio of speed of swimmer with respect to water and the speed of river flow is:

(Assume constant speed of river & swimmer)

A particle moves with constant acceleration along a straight line starting from rest. The percentage increase in its displacement during the 4th second compared to that in the 3rd second is:

A ball is dropped vertically from height $h$ and is bouncing elastically on the floor (see figure). Which of the following plots best depicts the acceleration of the ball as a function of time.

A ball is thrown vertically upwards. Which of the following plots represents the speed-time graph of the ball during its flight if the air resistance is not ignored ?