Question: please do 2b using matlab code tjie uit oefening P2 The kicker for the Maties rugby team is a little out of pratppe te verbeter.
tjie uit oefening P2 The kicker for the Maties rugby team is a little out of pratppe te verbeter. ice and asks for your assistance with improving his kicks. jektielbeweging Recall the familiar equation for projectile motion y=xtan()21v02x2gcos2()1. arslat 3m bo die (a) [3 marks] If the posts are 30m away, the crossbar is 3m 18.5m/s is, wat from the ground, and the initial velocity is v0=18.5m/s, irteen die speler what are the minimum and maximum angles at which at gaan? (Neem the player must kick the ball so that it travels over the wil, insluitend crossbar? (Take g=9.81 and use any method you like, e los. Plot die including fzero, to solve the relevant equation.) Plot the trajectories of your two computed solutions. a f. Om aanvanklike a Hint: Proceed by finding the angles which will hit the crossbar. af onthou dat die To obtain initial intervals, recall from highschool physics that the duidelik te steil is optimal angle is =/4. Notice also that =/2 is clearly too steep (vertical) and =0 is too shallow (horizontal). g die nie-linere (b) [1 marks ] By defining c=cos(), the nonlinear system c geskryf word, in P2a maybe be written as a polynomial equation in c, i.e., c4(x2+y2)c2x2(1v02gy)+(2v02x2g)2=0 ee roots funksie Use the above expression along with the roots function to n en maksimum solve for c and hence again find the minimum and maximum angles in P2a. a a You may observe that by letting d=c2 we would have a quadratic equation in d, which we could then solve exactly, however the purpose here is to gain practice in using the roots function
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