The coordinates of a bird flying in the `xy`-plane are `x = 2 - alpha t` and `y = beta t^(2)`, where `alpha = 3.6m//s` and `beta = 1.8 m//s^(2)`. Calculate 'the velocity and acceleration vectors and their magnitude as a functions of time .Also find the magnitude and direction of bird's velocity and acceleration at `t = 3.0s`. From the given data can you find whether at this instant, bird is speeding up, speeding down or it is taking a turn. If so in which direction

Answer

`[sqrt(12.96 + 12.96 t^(2)) m//s, 3.6 m//s^(2), 11.38 m//s, 3.6 m//s^(2)]`