I) A free particle of mass in one dimension has the following wavefunction:
(, ) = (^) (), ∈ ℝ.
By imposing that (, ) satisfies the free particle Schrödinger equation, deduce
the ordinary differential equation that () must satisfy. Then, solve the latter with
the initial condition (0) = 1.

ii) At time = 0, the wavefunction of a free particle of mass in 1D reads
(, 0) = sin(2)
By noticing that sin(2) is an energy eigenstate for the free particle, find the
wavefunction (, ) which solves the Schrödinger equation with the initial condition
given above. Can (, ) be normalised?

Honestly "global warming" may be a slight possiblity, however they called it "climate change" because its not real, in fact we had one of our coldest days here not too long ago, and the "issues" with this subject is a blindfold for actual problems.

    m₁v₁ + m₂v₂ = (m₁ + m₂)vmomentum is conserved.the left-hand side of the equation represents the momentum in the system before the collision.the right-hand side represents the momentum in the system after the collisionm₁ and v₁ represents the mass and the velocity of the physics blockm₂ and v₂ represents the mass and velocity of the ball of puttyv represents the final velocity of the combined mass.the question states the two masses stick together. they combined mass has its own velocity with the body mass the sum of the two objects' massestheir combined momentum is (m₁ + m₂)vto find the magitude of (m₁ + m₂)v, we need to add the vectors on the left-hand side of the equation: m₁v₁ + m₂v₂.note the diagram. i have positioned the vectors in accordance with their directions.the magnitude of the resultant can be calculated using the pythagorean theorem since this is a right triangle situation (north and west are perpendicular)|(m₁ + m₂)v| =  √[ (m₁v₁)² + (m₂v₂)² ]|(m₁ + m₂)v| =  √[ (1.5kg·8.0m/s)² + (0.40kg·20m/s)² ]|(m₁ + m₂)v| =  14.4 kg m/sfor two significant figures (assuming that 20m/s is two), this rounds to 14 kg m/s

How are period and frequency related to each other? dperiod is the reciprocal of frequency.