The rocket's acceleration has components a_{x}(t)= \alpha t^{2} and a_{y}(t)= \beta - \gamma t, where \alpha = 2.50 {\rm m}/{\rm s}^{4}, \beta = 9.00...

The rocket's acceleration has components a_{x}(t)= alpha t^{2} and a_{y}(t)= beta - gamma t, where alpha = 2.50 {rm m}/{rm s}^{4}, beta = 9.00 {rm m}/{rm s}^{2}, and gamma = 1.40 {rm m}/{rm s}^{3} . At t = 0 the rocket is at the origin and has velocity {vec{v}}_{0} = {v}_{0x} hat{ i } + v_{0y} hat{ j } with v_{0x} = 1.00 {rm m}/{rm s} and v_{0y} = 7.00 {rm m}/{rm s} .