(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A bird takes 8.5s to fly from position A{ V = 4.4 m/s [31° S of E]} to position B{ v = 7.8 m/s [25° N of E]}. Determine the average acceleration.

2. Relevant equations

[tex]a_{ave} = \Delta V / \Delta t[/tex]

[tex]\Delta Vx = Vbx + (-Vax)[/tex]

[tex]\Delta Vy = Vby + (-Vay)[/tex]

3. The attempt at a solution

[tex]\Delta Vx = Vbx + (-Vax)[/tex]

= [tex]Vb \sin \Theta + (-Va \cos \beta)[/tex]

= [tex]7.8 m/s (\sin31) - 4.4 m/s(\cos25)[/tex]

= 0.0295 m/s

[tex]\Delta Vy = Vby + (-Vax)[/tex]

= [tex] Vb \cos \Theta + (-Va \sin \beta)[/tex]

= [tex] 7.8 m/s (\cos31) + 4.4 m/s (\sin25)[/tex]

= 8.545 m/s

[tex]\mid \Delta V\mid^2 = \mid \Delta Vx \mid^2 + \mid \Delta Vy \mid^2[/tex]

= [tex](0.0295)^2 + (8.545)^2[/tex]

= 8.545 m/s

[tex]a_{ave} = \Delta V / \Delta t[/tex]

= (8.545m/s) / (8.5s)

= 1.005

This is how far i've got and I checked the answer with my textbook it says that the answer should be 0.76 m/s ^2.

Can someone help please?

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# Homework Help: Vector and acceleration problem

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