The linear momentum of a particle varies with time t as: p=a + bt + ct2 Among the following, the correct statement is

Question

The linear momentum of a particle varies with time t as: p=a + bt + ct2 Among the following, the correct statement is (A) Force varies with time in a quadratic manner (B) Force is time-dependent (C) The velocity of the particle is proportional to time (D) The displacement of the particle is proportional to time.

Tardigrade Admin · Accepted Answer

P=a +bt + ct2 F=(d P/d t)= 0 + b + 2ct

Q. The linear momentum of a particle varies with time $t$ as :

$p = a + b t + c t^{2}$

Among the following, the correct statement is

Force varies with time in a quadratic manner

Force is time-dependent

The velocity of the particle is proportional to time

The displacement of the particle is proportional to time.

$P = a + b t + c t^{2}$
$F = \frac{d P}{d t} = 0 + b + 2 c t$

Q. The linear momentum of a particle varies with time t as : p=a+bt+ct2 Among the following, the correct statement is