A hunter stands on a hillside that makes a constant slope angle of 20 degrees wi

Question

 

 

 

A hunter stands on a hillside that makes a constant slope angle of 20 degrees with the horizontal. He observes a lion, a distance of 30m down the hill, is poised to charge up the hill at him. Therefore, he throws his spear at the lion, with an intial speed v(sub 0) = 14m/s (the maximum the hunter can throw the spear), determine the angle theta at which he must throw the spear to hit the lion. If there are two solutions for theta, at which value would you recommend the hunter throw the spear? Why?

 

 

 

 HERE ARE THE TWO ANGLES I JUST DONT KNOW HOW TO GO ABOUT FIGURING OUT WHICH ONE IS THE CORRECT ONE:

 

 

 

Explanation / Answer

Both solutions are correct because of, if an equation has 2 roots, both should satisfy that equation Here also for both theta values range(30 m) is same but spear reaches at different maximum heights. In both cases hunter hit the lion.

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