Chapter 3, Problem 3.44P

CALC A bird flies in the .vv-plane with a velocity vector given by $\stackrel{\to }{v}=(\alpha -\beta t^2)\hat{i}+\gamma t\hat{j}$, with α = 2.4 m/s, β = 1.6 m/s³ and γ = 4.0 m/s². The positive v-direction is vertically upward. At t = 0 the bird is at the origin, (a) Calculate the position and acceleration vectors of the bird as functions of time, (b) What is the bird’s altitude (y-coordinate) as it flies over x = 0 for the first time after t = 0?