4. during a snowstorm an airplane is flying at 80.0 m/s and drops a bale of hay to a group of stranded…

4. during a snowstorm an airplane is flying at 80.0 m/s and drops a bale of hay to a group of stranded cattle. the pilot plans to drop the bale of hay when he is directly over a barn that is 500.0 m from the cattle. what altitude should he adopt for the drop, in order to have the bale land at the location of the cattle? a-6 marks

4. during a snowstorm an airplane is flying at 80.0 m/s and drops a bale of hay to a group of stranded cattle. the pilot plans to drop the bale of hay when he is directly over a barn that is 500.0 m from the cattle. what altitude should he adopt for the drop, in order to have the bale land at the location of the cattle? a-6 marks

Answer

Explanation:

Step1: Find time to reach cattle

The horizontal motion is constant velocity, so use $t = \frac{d}{v_x}$. $t = \frac{500.0\ \text{m}}{80.0\ \text{m/s}} = 6.25\ \text{s}$

Step2: Calculate required altitude

Use free fall vertical displacement formula $h = \frac{1}{2}gt^2$, where $g=9.81\ \text{m/s}^2$. $h = \frac{1}{2} \times 9.81\ \text{m/s}^2 \times (6.25\ \text{s})^2$ $h = 4.905 \times 39.0625 = 191.6\ \text{m}$

Answer:

191.6 meters