At the base of a vertical cliff, a model rocket, starting from rest, is launched upwardsatt= 0 with a time-varying acceleration given byay(t) =A−BtwhereAandBare positive constants. Also att= 0, a small stone is released from restfrom the top of the cliff at a heighthdirectly above the rocket. (This heighthis higherthan the maximum height reached by the rocket.) The stone hits the rocket at theinstant when the rocket reaches its maximum height. The gravitational acceleration ofmagnitudegis downward. You may neglect air resistance. Determine an expressionfor the initial heighthfrom which the stone was dropped in terms of the constantsA, B, andg

16. a brave but inadequate rugby player is being pushed backward by an opposing player who is exerting a force of 800 n on him. the mass of the losing player plus equipment is 90.0 kg, and he is accelerating at 1.20m/s2 size 12{1 "." "20"" m/s" rsup { size 8{2} } } {} backward. (a) what is the force of friction between the losing player’s feet and the grass? (b) what force does the winning player exert on the ground to move forward if his mass plus equipment is 110 kg? (c) draw a sketch of the situation showing the system of interest used to solve each part. for this situation, draw a free-body diagram and write the net force equation.

While strolling downtown on a saturday afternoon, you stumble across an old car show. as you are walking along an alley toward a main street, you glimpse a particularly stylish alpha romeo pass by. tall buildings on either side of the alley obscure your view, so you see the car only as it passes between the buildings. thinking back to your physics class, you realize that you can calculate the car's acceleration. you estimate the width of the alleyway between the two buildings to be 6 m. the car was in view for 0.6 s. you also heard the engine rev when the car started from a red light, so you know the alpha romeo started from rest 4 s before you first saw it. find the magnitude of its acceleration.

1. do the particles in the medium material move in the same direction of the wave or at opposite direction to the wave? explain your answer. 2. by inputting more energy into the wave, i.e a large shake of the spring, which wave property also increases? 3. are there forces of friction acting while a wave is passing through a medium?