Let ?⃗(?)=〈(?0cos?)?,−12??2+(?0sin?)?〉r→(t)=〈(v0cos⁡θ)t,−12gt2+(v0sin⁡θ)t〉 on the time interval [0,2?0sin??][0,2v0sin⁡θg], where ?>0g>0; physically, this represents projectile motion with initial...

Let ?⃗(?)=〈(?0cos?)?,−12??2+(?0sin?)?〉r→(t)=〈(v0cos⁡θ)t,−12gt2+(v0sin⁡θ)t〉 on the time interval [0,2?0sin??][0,2v0sin⁡θg], where ?>0g>0; physically, this represents projectile motion with initial speed ?0v0 and angle of elevation ?θ (and ?∼9.81m/s2g∼9.81m/s2).

Find speed as a function of time ?t, and find where speed is maximized/minimized on the interval [0,2?0sin??][0,2v0sin⁡θg].

Expert Solution

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Colby Messinger answered 2 years ago

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