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A pilot flying low and slow drops a weight; it takes 2.9 to hit the ground, during which it travels a horizontal distance of 11...Asked by jay
A pilot flying low and slow drops a weight; it takes 3.2s to hit the ground, during which it travels a horizontal distance of 155m . Now the pilot does a run at the same height but twice the speed. How much time does it take the weight to hit the ground?
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Answered by
Graham
Hint: What affect does horizontal velocity have on vertical fall?
Use: vector displacement equation.
x(t) î + y(t) ĵ = [x(0) + u(0)t] î + [y(0) + v(0)t - ½ gt^2] ĵ
x<sub>t</sub> î + y<sub>t</sub> ĵ = (x<sub>0</sub> + u<sub>0</sub> t) î + (y<sub>0</sub> + v<sub>0</sub> t - ½ g t<sup>2</sup>) ĵ
Use: vector displacement equation.
x(t) î + y(t) ĵ = [x(0) + u(0)t] î + [y(0) + v(0)t - ½ gt^2] ĵ
x<sub>t</sub> î + y<sub>t</sub> ĵ = (x<sub>0</sub> + u<sub>0</sub> t) î + (y<sub>0</sub> + v<sub>0</sub> t - ½ g t<sup>2</sup>) ĵ
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