Question

the linear momentum of a sphere of mass 2kg varies with time t as p=3t2+4 it follows that sphere moving with​

Answer 1

it follows that sphere moving with variable acceleration.

linear momentum varies with time as P = 3t² + 4.

we know, rate of change of momentum

with respect to time equals magnitude of force.

i.e., F = dP/dt

⇒F = d(3t² + 4)/dt = 6t

we know, force = mass × acceleration

so, F = 2kg × a = 6t

⇒a = (3t) m/s²

here it is clear that, a ∝ t

i.e., variable acceleration.

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