The position of a particle is given by `r=3.0t hati - 2.0t^2 hatj + 4.0 hatk m` where tis in seconds and the coefficients have the proper units for r to be in metres:- What is the magnitude and direction of velocity of the particle at t = 2.0 s ?

The position of a particle is given by r=3.0t hati - 2.0t^2 hatj + 4.0 hatk m where tis in seconds and the coefficients have the proper units for r to be in metres:- Find the v and a of the particle?

The displacement of a particle is given by x = (t-2)^2 where x is in metres and t in seconds. The distance covered by the particle in first 4 seconds is

The motion of a particle of mass m is given by x = 0 for t 0), and x = 0 for t > (1/4) s. which of the following statements is true?/

If x = a + bt + ct^2 , where x is in metre and t in second, what are the units of a, and b?

The equations of motion of a rocket are x=2t, y=-4t and z=4t , where time t is given in seconds, and the coordinates of a moving point in kilometres. What is the path of the rocket ? At what distance will be the rocket from the starting point O(0, 0, 0) in 10 s ?

The equation of a simple harmonic wave is given by y=3 sin pi/2 (50 t-x) where x and y are in mtres and t is in seconds.The ratio of maximum particle velocity to the wave velocity is :

A particle is moving in a straight line such that its displacement s at an instant of time t is given by the relation s = 3t^2 + 4 t + 5 Find the initial velocity of the particle.