# Answer in Mechanics | Relativity for Abel #86791

By understanding the problem, the attacking ship is ultimately at the 2250 m distance from the mountain peak (horizontally).

We will denote the given values as:

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Answer in Mechanics | Relativity for Abel #86791
Just from $13/Page “x_a=2250~\text{m};~h=1800~\text{m};~x_{shore}=300~\text{m};~v=250\frac{\text{m}}{\text{s}}. \\” The trajectory of a projectile motion: “y(x) = x\tan\alpha – \frac{gx^2}{2v^2\cos^2\alpha}. \\” By making sure that by the moment when a projectile reaches the mountain, it can pass over its peak, we can find the acceptable range of angles: “y(x_a) = x_a\tan\alpha – \frac{gx_a^2}{2v^2\cos^2\alpha} > h; \\” We shall enter numerical values and resort to some calculation aid here: In: Solve[2250*Tan[a] - (9.81*(2250)^2)/(2*((250)^2)*(Cos[a])^2) == 1800, a] Out: {{a -> -2.2438}, {a -> -1.79385}, {a -> 0.897791}, {a -> 1.34775}} By discarding the negative results and converting the results to degrees (for better illustration): In: 0.8977911361271153*180/Pi Out: 51.4396 In: 1.347746132891334*180/Pi Out: 77.2202 we can see that projectile will pass over the peak if shot between the angles of 51.44 and 77.22 degrees. Simple check of the maximum range “L = \frac{v^2}{g}\sin{(2\alpha)}” will prove that the angle 51.44 degrees will give farther range: In: (250^2)*Sin[2*0.8977911361271153]/9.81 Out: 6210.77 In: (250^2)*Sin[2*1.347746132891334]/9.81 Out: 2748.79 Therefore let’s label “\alpha_m \approx 51.44\degree. \\” Maximum range, as already calculated, “L_{max} = \frac{v^2}{g}\sin{(2\alpha_m)} \approx 6211~\text{m}.” So the safe distance for the defending ship, if calculating from the peak base, horizontally is “x_{safe} = L_{max} – x_a \approx (6211-2250)~\text{m} \approx 3961~\text{m}. \\” One can also obviously see that the projectile in this case will pass the horizontal distance of the shore (300 m). # What Will You Get? We provide professional writing services to help you score straight A’s by submitting custom written assignments that mirror your guidelines. #### Premium Quality Get result-oriented writing and never worry about grades anymore. We follow the highest quality standards to make sure that you get perfect assignments. #### Experienced Writers Our writers have experience in dealing with papers of every educational level. You can surely rely on the expertise of our qualified professionals. #### On-Time Delivery Your deadline is our threshold for success and we take it very seriously. We make sure you receive your papers before your predefined time. #### 24/7 Customer Support Someone from our customer support team is always here to respond to your questions. So, hit us up if you have got any ambiguity or concern. #### Complete Confidentiality Sit back and relax while we help you out with writing your papers. We have an ultimate policy for keeping your personal and order-related details a secret. #### Authentic Sources We assure you that your document will be thoroughly checked for plagiarism and grammatical errors as we use highly authentic and licit sources. #### Moneyback Guarantee Still reluctant about placing an order? Our 100% Moneyback Guarantee backs you up on rare occasions where you aren’t satisfied with the writing. #### Order Tracking You don’t have to wait for an update for hours; you can track the progress of your order any time you want. We share the status after each step. #### Areas of Expertise Although you can leverage our expertise for any writing task, we have a knack for creating flawless papers for the following document types. # Trusted Partner of 9650+ Students for Writing From brainstorming your paper's outline to perfecting its grammar, we perform every step carefully to make your paper worthy of A grade. ##### Preferred Writer Hire your preferred writer anytime. Simply specify if you want your preferred expert to write your paper and we’ll make that happen. ##### Grammar Check Report Get an elaborate and authentic grammar check report with your work to have the grammar goodness sealed in your document. ##### One Page Summary You can purchase this feature if you want our writers to sum up your paper in the form of a concise and well-articulated summary. ##### Plagiarism Report You don’t have to worry about plagiarism anymore. Get a plagiarism report to certify the uniqueness of your work. ## Free Features$66FREE

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