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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

Sagot :

Scryt
α[tex]=2.4 \frac{m}{s} [/tex]

β[tex]=1.2 \frac{m}{s^2} [/tex]

[tex]x(t)=at[/tex]

[tex]y(t)=3-[/tex]β[tex]t^2[/tex]

[tex]Vx(t)=[/tex]α

[tex]Vy(t)=-2[/tex]β[tex]t[/tex]

[tex]vectorV=[[/tex]α[tex];-2[/tex]β[tex]t][/tex]

[tex]ax(t)=0[/tex]

[tex]ay(t)=-2[/tex]β[tex]t[/tex]

[tex]vector a [0;-2[/tex]β[tex]t][/tex]


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