A chitauritwo (Loki\'s weird alien friends) is flying past Hawkeye who is statio

Question

A chitauritwo (Loki's weird alien friends) is flying past Hawkeye who is stationed on top of a building. The trajectory of the chitauritwo is given by the equations Xc = -100 +1ms^-1 t + (1/2)0.1t^2 Yc= 100m Zc= 440m Hawkeye's position is given by , and . If he is to fire an arrow with an initial velocity of 137 m s-1 at time t = 0, will he be able to shoot the chitauritwo? In what direction should he fire his arrow? Ignore air resistance, because the arrow is so fast, and note that gravity acts in the negative z-direction. This is an intersection problem, so we have to write down the trajectory of the arrow and put the x-, y- and z-coordinates of the arrow as a function of time equal to the x-, y- and z-coordinates of the chitauritwo (given in the problem). i. You have the starting location of the arrow so write down the equation for the position of the arrow in the x-direction as a function of time (note there is no air resistance so no acceleration). Put this equal to the x-coordinate of the chitauritwo to obtain your first equation. ii. Do the same as in i but in the y-direction (should be simpler as the chitauritwo doesn't move in this direction). iii. Obtain a similar equation in the z-direction. This is height so Hawkeye will have to aim slightly upwards to overcome the effects of gravity, which will appear in this equation as a negative term. So now you have three equations, but 4 unknowns! The unknowns are the initial velocity of the arrow (in x, y, and z) and time. But wait, we have a fourth equation. iv. The magnitude of the velocity is dictated by the bow. The magnitude is 137 m s-1. Therefore, Pythagoras theory gives us our fourth equation. 4 unknowns and 4 equations. Now its a math problem. Plug it into a calculator or a computer if you can't do the math.

Explanation / Answer

Nice question but it is littile bit confusing please repost the question with structured format so that i will be giving you answer...!!!

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