Question

The coordinates of a bird flying in the xy-plane are given by x(t)=αt and y(t)=3.0m−βt2, where α=2.4m/s and β=1.2m/s2.part a:Calculate the velocity vector of the bird as a function of time. Give your answer as a pair of components separated by a comma. For example, if you think the xcomponent is 3 and the y component is 4, then you should enter 3,4.
part b:Calculate the acceleration vector of the bird as a function of time. Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the y component is 4, then you should enter 3,4

Answer 1

Α$=2.4 \frac{m}{s}$

β$=1.2 \frac{m}{s^2}$

$x(t)=at$

$y(t)=3-$β$t^2$

$Vx(t)=$α

$Vy(t)=-2$β$t$

$vectorV=[$α$;-2$β$t]$

$ax(t)=0$

$ay(t)=-2$β$t$

$vector a [0;-2$β$t]$