1. A bird flies in xy plane with velocity vector given by
~v = (α − βt2)ˆi + γtˆj
where α = 2.1m/s and γ = 2.8m/s2and the positive y direction is vertically upward
at t = 0, the bird is at the origin.
a) Determine average acceleration between time interval t = 0 to 1s
b) calculate the general expression for instantaneous acceleration at any time t
c) What is the birds altitude (y cordinate) as it flies over x = 0 for the first time