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USE MATLAB TO SOLVE THIS PROBLEM

USE MATLAB TO SOLVE THIS PROBLEM

USE MATLAB TO SOLVE THIS PROBLEM

USE MATLAB TO SOLVE THIS PROBLEM

USE MATLAB TO SOLVE THIS PROBLEM

3. The range, r, of a cannon projectile under the influence of gravity, g-9.81 m/s, and fired with muzzle velocity vo 10 m/s is determined by the angle its barrel makes with the ground, t. From your Physics classes you will recall that the range is calculated as: r() = 2(vo)2/g sin t cos() . If a wind of velocity 2 m/s2/ blows against the project, what will be the r(0)? Assuming that 9 is a random variable uniformly distributed between O and T/2.

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Answer #1

here resultant velocity v=v0-wind velocity=10-2=8 m/s

angle uniformly distributed between 0 and 90 deg that can be taken as0+90/2=45 deg/9=9.81m/s2

range of aprojectile r=v2sin(2\theta)/g

r=82sin(2*45)/9.8=6.523m

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