Answer to Question #155354 in Physics for Lester L. Quimpan

Question #155354

A plane flying in a horizontal path 90m above the ground with a speed of 64 m/s², at what horizontal from the target should the pilot release the projectile?


1
Expert's answer
2021-01-14T10:39:53-0500

Let's first find the time that the projectile takes to reach the ground:


"y=\\dfrac{1}{2}gt^2,""t=\\sqrt{\\dfrac{2y}{g}}=\\sqrt{\\dfrac{2\\cdot90\\ m}{9.8\\ \\dfrac{m}{s^2}}}=4.28\\ s."

Finally, we can find the horizontal distance from the target at which the pilot should release the projectile:


"x=v_0t=64\\ \\dfrac{m}{s}\\cdot4.28\\ s=274\\ m."

Answer:

"x=274\\ m."


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