BALLISTICSThe range of an object (see Figure 5.12) shot at an angle 0 with respect to the xaxisand an initial velocity th is given byR(0) =sin (20)for 0 s0s(neglecting air resistance)Use g= 9.9 m/s and an initial velocity of 100 m/s. Show that the maximumrange is obtained at 0 = 7/4 by computing and plotting the range for values ofO fromin increments of 0.05.Repeat your calculations with an initial velocity of 50 m/s, and plot both sets ofresults on a single graph.1. State the ProblemCalculate the range as a function of the launch angle.2. Describe the Input and OutputInputg= 9.9 m/s0 = 0 to 7/2, incremented by 0.0550 m/s and 100 m/s%3D Figure 5.12The ronge is zero, i the conon is perfecty vertical or perfecty horizontal.OutputRange RPresent the results as a plot.3. Develop a Hand ExampleIf the cannon is pointed straight up, we know that the range is zero, and if thecannon is horizontal, the range is also zero (see Figure 5.12).This means that the range must increase with the cannon angle up to somemaximum and then decrease. A sample calculation at 45 (/4 radians) showsthat- sin (20)%3D100sin9.9(等)= 1010 m when the initial velocity is 100 m/s

1) The object’s given initial velocity is 100 m/s. The object’s range can be found as, Here, u, g,…

Use g 9.9 m/s and an initial velocity of 100 m/s. Show that the maximum range is obtained at 0 = 7/4 by computing and plotting the range for values of O from 0ses in increments of 0.05. Repeat your calculations with an initial velocity of 50 m/s, and plot both sets of results on a single graph. 2/4

Use g 9.9 m/s and an initial velocity of 100 m/s. Show that the maximum range is obtained at 0 = 7/4 by computing and plotting the range for values of O from 0ses in increments of 0.05. Repeat your calculations with an initial velocity of 50 m/s, and plot both sets of results on a single graph. 2/4

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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