(a)The speed of a transverse wave on a stretched string is given by , where is the tension and is the mass per unit length. Use dimensional analysis to show that the equation is homogeneous.[3]
(b(i))A hiker walks 40.0 m in a direction north of east and then 25.0 m due north. Calculate the magnitude of the hiker's resultant displacement.[3]
(b(ii))Determine the direction of the resultant displacement, measured north of east.[2]
(c)Given and , calculate the angle between and .[3]