A body starts from rest from the origin with an acceleration of $6\,m/{s^2}$ along the $x-$axis and $8\,m/{s^2}$ along the $y-$axis. Its distance from the origin after $4 \,seconds$ will be........$m$

Three particles, located initially on the vertices of an equilateral triangle of side $L,$ start moving with a constant tangential acceleration towards each other in a cyclic manner, forming spiral loci that coverage at the centroid of the triangle. The length of one such spiral locus will be

If position time graph of a particle is sine curve as shown, what will be its velocity-time graph.

Velocity-time graph for a car is semicircle as shown here. Which of the following is correct :

An observer moves with a constant speed along the line joining two stationary objects. He will observe that the two objects

The figure shows a velocity-time graph of a particle moving along a straight line  The maximum displacement of the particle is  ........ $m$