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TextbooksMathCalculus Volume 3Chapter 3

Chapter 3

Calculus Volume 3 · 201 exercises

Problem 227

The following problems consider launching a cannonball out of a cannon. The cannonball is shot out of the cannon with an angle \(\theta\) and initial velocity \(\mathbf{v}_{0}\). The only force acting on the cannonball is gravity, so we begin with a constant acceleration \(\mathbf{a}(t)=-g \mathbf{j}\). Find the position vector \(\mathbf{r}(t)\) and the parametric representation for the position.

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