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lanvin
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A bird takes 8.5s to fly from position A to position B along the path in the figure shown. Determine the bird's average acceleration.
http://i299.photobucket.com/albums/mm286/lanvin12/physics.jpg
Vax = (4.4m/s)sin31° = 2.26616m/s
Vbx = Vbsin25° = (7.8m/s)sin25° = 3.2964m/s
Vx = Vbx - Vax = 3.2964m/s - 2.26616m/s = 1.030262m/s
Vay = Vacos31° = (4.4m/s)cos31° = 3.771536123m/s
Vby = Vbcos25° = (7.8m/s)cos25° = 7.069200739m/s
Vy = Vby + Vay = 3.771m/s + 7.0692m/s = 10.840736m/s
V² = Vx² + Vy² = (10.840m/s)² + (1.030m/s)² = 118.530155m/s
V = √118.530155m/s = 10.8895m/s
a = v/t = 10.8895m/s) / (8.5s) = 1.2811m/s²
tan theta = 10.84 / 1.030 = 10.522
theta = tan^(-1) 10.522 = 84.57 degrees
therefore...
the bird's acceleration was 1.3m/s² [85 degrees N of E]
http://i299.photobucket.com/albums/mm286/lanvin12/physics.jpg
Vax = (4.4m/s)sin31° = 2.26616m/s
Vbx = Vbsin25° = (7.8m/s)sin25° = 3.2964m/s
Vx = Vbx - Vax = 3.2964m/s - 2.26616m/s = 1.030262m/s
Vay = Vacos31° = (4.4m/s)cos31° = 3.771536123m/s
Vby = Vbcos25° = (7.8m/s)cos25° = 7.069200739m/s
Vy = Vby + Vay = 3.771m/s + 7.0692m/s = 10.840736m/s
V² = Vx² + Vy² = (10.840m/s)² + (1.030m/s)² = 118.530155m/s
V = √118.530155m/s = 10.8895m/s
a = v/t = 10.8895m/s) / (8.5s) = 1.2811m/s²
tan theta = 10.84 / 1.030 = 10.522
theta = tan^(-1) 10.522 = 84.57 degrees
therefore...
the bird's acceleration was 1.3m/s² [85 degrees N of E]
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