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- A volcano ejects a chunk of rock straight up at a velocity of vy = 30 m/s. Ignoring air resistance, what will be the velocity vy of the rock when itfalls back into the volcano’s crater?A. > 30 m/s B. 30 m/s C. 0 m/s D. -30 m/s E. < -30 m/sYou stand on the seat of a chair and then hop off. (a) Duringthe time interval you are in flight down to the floor, theEarth moves toward you with an acceleration of what orderof magnitude? In your solution, explain your logic. Modelthe Earth as a perfectly solid object. (b) The Earth movestoward you through a distance of what order of magnitude?A baseball is thrown vertically downward with a speed, as it leaves the hand of 3o m/s. a) Howlong will it rise? b) How high will it rise? c) How long after if leaves the hand will it return to thestarting point? d) When will its speed be 20 m/s?
- The automobile is originally at rest, i.e., s (t = 0 s) = 0 m. If it then starts toincrease its speed at a (t) = (0.05t2 ) ft/s 2 , where t is in seconds, then determine the magnitudes ofits velocity and acceleration at s = 550 ft. Note that a (t) becomes a t (t) along the circular path.A rescue helicopter is hovering over a person whose boathas sunk. One of the rescuers throws a life preserver straightdown to the victim with an initial velocity of 1.40 m/s andobserves that it takes 1.8 s to reach the water. (a) List theknowns in this problem. (b) How high above the water wasthe preserver released? Note that the downdraft of thelife preserver, so that an acceleration equal to that of gravityis reasonablehelicopter reduces the effects of air resistance on the fallingYou drop a ski glove from a height h onto fresh snow, and itsinks to a depth d before coming to rest. (a) In terms of g and h,what is the speed of the glove when it reaches the snow? (b) Whatare the magnitude and direction of the glove’s acceleration as itmoves through the snow, assuming it to be constant? Give youranswer in terms of g, h, and d
- A ball is thrown vertically upward from the ground with an initial velocity of 39.2 m/sec. If the only force considered is that attributed to the acceleration due to gravity, find(i) how long will it take for the ball to strike the ground? (i) how long will it take for the ball to strike the ground? (iii) how high the ball will rise?Check your Understanding A cyclist rides 3 km west and then tune around and tides 2 kin east. (a) What Is his displacement? (b) What is the distance traveled? (c) What is the magnitude of his displacement?A boat can be rowed at 8.0 km/h in still water. (a) How much time is required to row 1.5 km downstream in a river moving 3.0 km/h relative to the shore? (b) How much time is required for the return trip? (c) In what direction must the boat be aimed to row straight across the river? (d) Suppose the river is 0.8 km wide. What is the velocity of the boat with respect to Earth and how much time is required to get to the opposite shore? (e) Suppose, instead, the boat is aimed straight across the river. How much time is required to get across and how far downstream is the boat when it reaches the opposite shore?
- Check Your Understanding A rock is thrown horizontally off a cliff 100.0 m high with a velocity of 15.0 m/s. (a) Define the origin of the coordinate system (b) Which equation describes the horizontal motion? (c) Which equation describe the vertical motion (d) What is the rock’s velocity at the point of impact?A long jumper leaves the ground at an angle of 29 degrees and lands 8.2 meters away. With what speed did he jump? Please answer in m/sstudent stands at the edge of a cliff and throws a stone horizontally over the edgewith a speed of 18.0 m/s. The cliff is 50.0 m above a flat, horizontal beach as shown inFigure P3.7. (a) What are the coordinates of the initial position of the stone? (b) Whatare the components of the initial velocity? (c) Write the equations for the x- and ycomponents of the velocity of the stone with time, (d) Write the equations for theposition of the stone with time, using the coordinates in Figure P3.7. (e) How longafter being released does the stone strike the beach below the cliff? (f) With whatspeed and angle of impact does the stone land?