<p>An airplane is dropping bales of hay to cattle stranded in a blizzard on the
ID: 1965034 • Letter: #
Question
<p>An airplane is dropping bales of hay to cattle stranded in a blizzard on the Great Plains. The pilot releases the bales at <span>140</span> <img src="http://session.masteringphysics.com/render?units=%7B%5Crm+m%7D" alt="{ m m}" align="middle" /> above the level ground when the plane is flying at <span>65.0</span> <img src="http://session.masteringphysics.com/render?units=%7B%5Crm+m%7D%2F%7B%5Crm+s%7D" alt="{ m m}/{ m s}" align="middle" /> <span>60.0</span><img src="http://session.masteringphysics.com/render?units=%5E%5Ccirc" alt="^circ" align="middle" /> above the horizontal.How far in front of the cattle should the pilot release the hay so that the bales will land at the point where the cattle are stranded?</p>Explanation / Answer
velocity of the plane = (65cos60i + 65sin60i) = (32.5i + 56.29j) m/s vertical distance = 140 m time taken: 2(140) / t = (9.81)t + 2(0) 9.81t^2 = 280 t = 5.34 seconds horizontal distance = speed * time = 32.5 * 5.34 = 173.55 m Ans: 173.55 m infront
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