Answer to Question #206842 in Mechanical Engineering for Rodel

Question #206842

From the top of a building 75m, a bullet is fired at an angle of 45° above the horizontal with an initial velocity of 270 m/s. Find the time until it hits the ground.


1
Expert's answer
2021-06-22T05:10:18-0400

 The initial vertical velocity is downward and the acceleration due to gravity will increase this downward velocity


"V_i = 270 cos 45^0 = 190.91 \\frac{m}{sec}"


"d=v_it+\\frac{1}{2}at^2"


"75 =190.91\\times t+\\frac{1}{2}\\times 9.8\\times t^2"


Changing to standard quadratic form yields


"4.9 t^2 + 190.91t-75 = 0"


This equation can be solved with the quadratic Equation:

 

t = 0.39 sec



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Comments

Assignment Expert
23.06.21, 12:56

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Rodel
22.06.21, 21:11

Thank you!

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