An RLC series circuit with 150-ohm resistor, 25-mH inductor, and 2 microfarad-capacitor is powered by an AC voltage source with a peak voltage of 340V and a frequency of 660 Hz. (a) Find the peak current that flows in the circuit.(b) Determine the phase angle of the source voltage relative to the current. (c) Determine the peak voltage across the resistor and its phase angle relative to the voltage source. (d) Find the peak voltage across the inductor and its phase angle relative to the voltage source.(e) Find the peak voltage across the capacitor and its phase anglerelative to the voltage source

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?