Question

The linear momentum of a particle is given by p= a+bt^2 where t is time a an b are constant s the force acting on the body varies directly as

Answer 1

Answer:

proportional to t

Explanation:

F=dp/dt

=d(a+bt^2)/dt

F=2bt

F directly proportional to t

Answer 2

The force acting on the body varies directly as time t.

Given Momentum $p=a+bt^{2}$

We know that force $F=\frac{dp}{dt}$ , is the rate of change of momentum.

which implies that,

$F=2bt$

Hence we can say that force is directly proportional to the time.