The position of a mving point in space is `x=2t, y=4t, z=4t` where t is measured in seconds and coordinates of moving point are in kilometers: The distance of thepoint from the starting point `O(0,0,0) in 15 sec is
(A) 3 km (B) 60km (C) 90km (D) 120km

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 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 ?

Find the distance of the point (1,2,0) from the plane 4x+3y+12z+16=0

The position of a particle is given by x=2(t-t^(2)) where t is expressed in seconds and x is in metre. The total distance travelled by the paticle between t=0 to t=1s is

The position vector of a particle is given by vecr_() = vecr_(0) (1-at)t, where t is the time and a as well as vecr_(0) are constant. How much distance is covered by the particle in returning to the starting point?

The position of an object moving on a straight line is defined by the relation x=t^(3)-2t^(2)-4t , where x is expressed in meter and t in second. Determine (a) the average velocity during the interval of 1 second to 4 second. (b) the velocity at t = 1 s and t = 4 s, (c) the average acceleration during the interval of 1 second to 4 second. (d) the acceleration at t = 4 s and t = 1 s.

Find the locus of a point whose coordinate are given by x = t+t^(2), y = 2t+1 , where t is variable.

The shortest distance between origin and a point on the space curve x=2sint, y=2cost, z=3t is….

Find the position vector of a point A in space such that vec O A is inclined at 60^0toO X and at 45^0toO Ya n d| vec O A|=10u n i t sdot

The number 3,4,5 can be (A) direction cosines of a line in space (B) direction numbers of a line in space (C) coordinates of a point on the line y=4z=0 (D) coordinates of a point in the plane x+y-z=0