The base of a 20-meter tower is at the origin; the base of a20-meter tree is at (0, 20
Chapter 17, Problem 35(choose chapter or problem)
The base of a 20-meter tower is at the origin; the base of a20-meter tree is at (0, 20, 0). The ground is flat and the zaxispoints upward. The following parametric equationsdescribe the motion of six projectiles each launched attime t = 0 in seconds.(I) r (t) = (20 + t2)k(II) r (t)=2t2j + 2t2k(III) r (t) = 20i + 20j + (20 t2)k(IV) r (t)=2tj + (20 t2)k(V) r (t) = (20 2t)i + 2tj + (20 t)k(VI) r (t) = ti + tj + tk(a) Which projectile is launched from the top of thetower and goes downward? When and where doesit hit the ground?(b) Which projectile hits the top of the tree? When?From where is it launched?(c) Which projectile is not launched from somewhere onthe tower and hits the tree? Where and when does ithit the tree?
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