Match the following moves to the correct total distance and displacement of the moves. a. move 2 m east and then 12 m east b. move 10 m east and then 12 m west c. move 8 m west and then 16 m east d. move 12 m west and then 8 m east 1 displacement is 2 m west; distance is 22 m 2 displacement is 14 m east; distance is 14 m 3 displacement is 8 m east; distance is 24 m 4 displacement is 4 m west; distance is 20 m

The base of a 50-meter tower is at the origin; the base of a 50-meter tree is at (0, 50, 0). the ground is flat and the z-axis points upward. the following parametric equations describe the motion of six projectiles each launched at time t = 0 in seconds. (i) r (t) = (50 + t2)k (ii) r (t) = 2t2 j + 2t2k (iii) r (t) = 50 i + 50 j + (50 − t2)k (iv) r (t) = 2t j + (50 − t2)k (v) r (t) = (50 − 2t) i + 2t j + (50 − t)k (vi) r (t) = t i + t j + tk (a) which projectile is launched from the top of the tower and goes downward? at time t = , the projectile hits the ground at point (x, y, z) = . (b) which projectile hits the top of the tree?