If `x = a + bt + ct^2`, where x is in metre and t in second, then wat ist he unit of c?

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

If x=at+bt^(2) , where x is in the metres and t is in hour (hr), the units of b will be

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

When a wave travels in a medium,the particle displacements are given by : y(x,t)=0.03 sin pi(2t-0.01x) where y and x are in m, etres and t in seconds.the wavelength of the wave is :

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 :

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 ?