An airplane is dropping bales of hay to cattle stranded in a blizzard on the Great Plains. The pilot releases the bales at 140 m above the level ground when the plane is flying at 70.0 m/s at an angle of 60.0 ? above the horizontal.t what distance before reaching the cattle should the pilot release the hay so that the bales will land at the point where the cattle are stranded?
Solution
Here,
theta = 60 degree
u = 70 m
hi = 140 m
let the horizontal distance is x
for the equation of trajectory
y = x * tan(theta) - 0.50 * gx^2/(v * cos(theta))^2 + hi
0 = x * tan(60 degree) - 0.50 * 9.8 * x^2/(70 * cos(60 degree))^2 + 140
solving for x
x = 502.6 m
the pilot should release hay 502.6 m before
.
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An airplane is dropping bales of hay to cattle stranded in a blizzard.docx
1. An airplane is dropping bales of hay to cattle stranded in a blizzard on the Great Plains. The pilot
releases the bales at 140 m above the level ground when the plane is flying at 70.0 m/s at an
angle of 60.0 ? above the horizontal.t what distance before reaching the cattle should the pilot
release the hay so that the bales will land at the point where the cattle are stranded?
Solution
Here,
theta = 60 degree
u = 70 m
hi = 140 m
let the horizontal distance is x
for the equation of trajectory
y = x * tan(theta) - 0.50 * gx^2/(v * cos(theta))^2 + hi
0 = x * tan(60 degree) - 0.50 * 9.8 * x^2/(70 * cos(60 degree))^2 + 140
solving for x
x = 502.6 m
the pilot should release hay 502.6 m before
