Question

. In a straight line motion the distance travelled is propor-
tional to the square root of the time taken. The accelera-
tion of the particle is proportional to -
(1) velocity
(2) v²
(4) ſv
(3) v3​

Answer 1

Answer:

(1) Velocity

Explanation: This is so because;

• Since distance 'd'  is proportional to square root of time 't'

Mathematically, d∝√t ⇒ d = f√t (where f is the constant of proportionality)

So therefore f = d/√t

⇒ v = f/√t = d/t

⇒a=v/t (so therefore, a is proportional to velocity)