2. When a pendulum 0.5 m long swings back and forth, its angular displacement O from rest position, in radians, is 1 given by 0(t)= sint where t is the time, in seconds. At what time(s) during the first 4 s is the pendulum 2. displaced 1 cm vertically above its rest position? (Assume the pendulum is at its rest position at t= 0.)

Differentiate. y = x° (5.4)* In(5.4) x? (5.4)* + 3x? (5.4)* O In (5.4)x (5.4)* + 3x² (5.4)* ?(5.4)* x³(5.4)* + 3x?(5.4)*

Ex. 5 A bicycle wheel turns at a rate of 90 revolutions per minute (rpm). Determine the angular velocity, expressed in a) degrees per second and b) radians per second Angular velocity (w) is the rate at which the central angle is changing. 0 @=I t

Find sinθ when cosθ=0.618 and tanθ<0.