FRO 3 No calculator is allowod for tho following proolorn. A particle travels along the horizontal axis such that its velocity, nit], in meters per second, at lime t is given by the function vlt] = 'ml} - E12 for [I S t S 20. Tho position of the particle is given by rm, and rm] = 5. a]: Find a \"{'l 2}. Explain what this value indicates in terms of the context. b} Estimate the velocity of the particle at t = 12.1 seconds using a linear approximation at t = 12. c} Find the ne I: for which the average acceleration of the particle over the interval in: S I 5 ED is 1 W52. Justify vmr answer. d] Write, but do not solve, an equation that gives thetjme n atvmid'l the particle will be at a position of 1GB meters.