Question

 If the position vector of a particle is r 3ti -4j+k, the particle will be
(1) moving with uniform velocity
(2) stationary
(3) moving with uniform acceleration
(4) insufficient data ​

Answer 1

Answer:

(1) moving with uniform velocity having (a=0)

Answer 2

(1). If the position vector of a particle is r=3ti -4j+k, the particle will be moving with uniform velocity.

Given:

r = 3ti - 4j + k.

To find:

motion of position vector = ?

Solution:

Since, after differentiating position vector with respect to time we get velocity.

Formula to be used:

$v = \frac{dr}{dt} = 3i$

Since, we got velocity vector as 3i, it is moving with uniform velocity.

Therefore, if the position vector of a particle is r=3ti -4j+k, the particle will be moving with uniform velocity.