The equations of motion of a rocket are `x=2t ,y=-4ta n dz=4t ,` where time`t` is given in seconds, and the coordinates of a moving points in kilometers. 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 position of a particle is given by r=3.0thati-2.0t^(2)hatj+4.0hatkm where t is in seconds and the coefficients have proper units for r to be in metres . (a) Find the v and a of the particle ? (b) What is the magnitude and direction of velocity of the particle at t=2.0s ?

The equation of motion is given by s(t)=2t^3-6t^2+6 At what time, the velocity and accelerations are zero?

The equation of motion is given by s(t) = 2t^(3) - 6t^(2) + 6 . At what time the velocity and accelerations are zero?

The equation of motion of a particle started at t=0 is given by x=5sin(20t+pi/3) , where x is in centimetre and t in second. When does the particle a. first come rest b. first have zero acceleration c. first have maximum speed?

The equation of a wave moving on string y = 8 sin {pi (0.002 x - 4t)} where x , y are in centimeter and t in seconds . The velocity of the wave is ……… .

The equation of motion is given by s=10t^2+60t , where s is displacement in kilometre and t is time in hour. Find the initial velocity.

The sum of the distance of a moving point from the points (4,0) and (-4,0) is always 10 units. Find the equation to the locus of the moving point.

The sum of the distance of a moving point from the points (4,0) and (-4, 0) is always 10 units . Find the equation of the locus of the moving point.

The equation of motion is given by s=10t^2+60t , where s is displacement in kilometre and t is time in hour. Find the velocity after 1 hour.