Velocity from acceleration by integration

A question is this type if and only if it requires finding velocity by integrating a given acceleration function with respect to time, using initial conditions to find the constant of integration.

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Pre-U Pre-U 9794/3 2016 June Q9
8 marks Standard +0.8
A particle of mass \(0.01\) kg is projected vertically upwards from a point \(G\) at ground level with speed \(165 \text{ m s}^{-1}\) and reaches a maximum height of \(1237.5\) m. Throughout its motion it experiences a constant resistance.
  1. Find the acceleration of the particle as it ascends and hence the magnitude of the resistance. [4]
  2. During its descent back to \(G\) the particle experiences the same constant resistance. Find the time taken for the descent. [4]