An owl is carrying a mouse to the chicks in its nest. The owl is at that time is 4 m west and 12 m above the center of the 35 cm diameter nest, and flying east at 3.6 m/s at an angle 34° below the horizontal when it accidentally drops the mouse. a.)Calculate the horizontal position of the mouse when it has fallen 12 m, assuming the nest is at the origin of a coordinate system with east being positive. b.) How far from the east edge of the nest did the mouse fall, in centimeters?
An owl is carrying a mouse to the chicks in its nest. The owl is at that time is 4 m west and 12 m above the center of the 35 cm diameter nest, and flying east at 3.6 m/s at an angle 34° below the horizontal when it accidentally drops the mouse.
a.)Calculate the horizontal position of the mouse when it has fallen 12 m, assuming the nest is at the origin of a coordinate system with east being positive.
b.) How far from the east edge of the nest did the mouse fall, in centimeters?
The situation has motion with constant acceleration in two dimensions , also known as projectile motion
The nest being the origin ,
west means negative and east means positive on the x - axis ,
X0 = - 4 m , Y0 = 12 m
Vx0 = V0cos( 0 ) , Vy0 = V0sin( 0 ) , 0 = -30 , ay = -g
Vx = V0cos( 0 ) = constant ,
x = x0 + v0cos( 0 ) t ,
Vy = V0sin( 0 ) - gt ,
y = y0 + V0sin( 0 )t - 0.5gt2
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