a solid metal cylinder of radius r = 3.0 cm is located inside a hollow metal cylinder of inner and outer radius r(in) = 12 cm and r(out) = 16 cm, respectively. Both cylinders have the same length L. A and B are at distances distance A = 9.0 cm and distance B = 25 cm, respectively. The electric fields at A and B are E at A = 1.25 ✕ 10^4 N/C and E at B = −1.25 ✕ 10^4 N/C, respectively.

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?