For the velocity field V =Ax^ i−Ay^ j, where A=2s −1 , which can be interpreted to represent flow in a corner, show that the para- metric equations for particle motion are given by xp =c1 e^At and yp =c2 e^−At . Obtain the equation for the pathline of the particle located at the point x, y=(2,2) at the instant t=0. Compare this pathline with the streamline through the same poin.

Amass attached to a spring is displaced from its equilibrium position by 5cm and released. the system then oscillates in simple harmonic motion with a period of 1s. if that same mass–spring system is displaced from equilibrium by 10cm instead, what will its period be in this case? a mass attached to a spring is displaced from its equilibrium position by and released. the system then oscillates in simple harmonic motion with a period of . if that same mass–spring system is displaced from equilibrium by instead, what will its period be in this case? a) 0.5sb) 2sc) 1sd) 1.4s

Holes drilled several kilometers into earth’s crust provide direct evidence about earth’s interior in the form of

For waves in the ocean, the medium of the waves is a. air b. water c. energy d. a passing boat