Solve the all parts of given problem:
Problem: A particle's acceleration is described by the function ax =(10 t)m/s2, where t is in s. Its initial conditions are x0 = 260m and v0x =0m/s at t =0s.
Part A: At what time is the velocity again zero?
Part B: What is the particle's position at that time?
Please show your results in detailed calculations.