Question

The position x of a body moving with uniform
acceleration depends on time t as x = 2t + 6t2.
The numbers 2 and 6 in the equations are
(1) Dimensionless variable
(2) Dimensional constant
(3) Dimensionless constant
(4) Dimensional variable​

Answer 1

Answer:

(2) Dimensional constant.

Explanation:

1) We are given the position 'x' of a body moving with uniform acceleration such as

$x=2t+6t^2$

2) This can thought as similar to  Newton's Third Equation of Motion,

$S=ut+\frac{1}{2}at^2$

That is,

2 is dimension of velocity i.e, m/s. and 2 is constant.

and

6 is dimension of acceleration i.e, m/s^2. and 6 is constant.

Hence, 2 and 6 are dimensional constant.

=> Option (2) Dimensional constant is correct answer.