Afish swimming in a horizontal plane has velocity v with arrowi = (4.00 î + 1.00 ĵ) m/s at a point in the ocean where the position relative to a certain rock is r with arrowi = (16.0 î − 3.00 ĵ) m. after the fish swims with constant acceleration for 15.0 s, its velocity is v with arrow = (25.0 î − 3.00 ĵ) m/s. (a) what are the components of the acceleration of the fish? ax = m/s2 ay = m/s2 (b) what is the direction of its acceleration with respect to unit vector î? ° counterclockwise from the +x-axis (c) if the fish maintains constant acceleration, where is it at t = 30.0 s? x = m y = m in what direction is it moving? ° counterclockwise from the +x-axis

The density of a liquid could be found by using

A23 kg log of wood begins from rest, 300 m up a sluice (a water track used to transport logs, think of it as an inclined plane with negligible friction) inclined at 20° to the horizontal. after it reaches the flat waterway at the bottom it collides elastically with a 100 kg block of wood initially at rest near the base of the incline. (a) how long does it take the 23 kg log to travel down the incline? (b) what is the speed of the 23 kg log at the bottom of the incline? (c) what are the velocities of both blocks of wood after the collision? (d) what is the total kinetic energy before the collision? (e) what is the kinetic energy of the 23 kg log after the collision? (f) what is the kinetic energy of the 100 kg block of wood after the collision? (g) what is the total kinetic energy after the collision? (h) compare the total initial and total final kinetic energies. is this consistent with what you would expect for elastic collisions? explain!

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