EASY
NEET
IMPORTANT
Earn 100

A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to vx=βx2n, where (β and n are constants and x is the position of the particle. The acceleration of the particle as a function of x is given by:

50% studentsanswered this correctly

Important Questions on Kinematics

EASY
NEET
IMPORTANT
A ship A is moving westwards with a speed of 10 km h-1 and a ship B which is 100 km south of A is moving northwards with a speed of 10 km h-1. The time after which the distance between them becomes shortest is,
MEDIUM
NEET
IMPORTANT
Two particles A and B, move with constant velocities v1 and v2. At the initial moment, their position vectors are r1 and r2, respectively. The condition for particles A and B for their collision is:
HARD
NEET
IMPORTANT
If the velocity of a particle is v=At+Bt2, where A and B are constants, then the distance travelled by it between 1s and 2s is
EASY
NEET
IMPORTANT
Two cars P and Q start from a point at the same time in a straight line and their positions are represented by xpt=at+bt2 and xQt=ftt2. At what time do the cars have the same velocity?
HARD
NEET
IMPORTANT
Preeti reached the metro station and found that escalator was not working. She walked up the stationary escalator in time t1 on other days, if she remains stationary on the moving escalator, then the escalator takes her up in time t2 . The time taken by her to walk up on the moving escalator will be
EASY
NEET
IMPORTANT
The x and y coordinates of the particle at any time are x=5t2t2 and y=10t, respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t=2 s is
EASY
NEET
IMPORTANT
Position of a particle moving along x-axis is given by x=2+8t4t2. The distance travelled by the particle from t=0 to t=2 is:
EASY
NEET
IMPORTANT
The position vector of a particle is given by r=r01att, where t is time and a as well as r0 are constant. After what time does the particle return to the starting point?