(III) A baseball is seen to pass upward by a window 28 m above the street with a vertical speed of 13 m/s. If the ball was thrown from the street, (a) what was its initial speed,
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- (III) A baseball is seen to pass upward by a window with a vertical speed of 14m/s .If the ball was thrown by a person 18 m below on the street, (a) what was its initial speed, (b) what altitude does it reach, (c) when was it thrown,and (d) when does it reach the street again?(c) A stone is thrown horizontally off a 25 m high building. It hits the ground a distance of 20 mfrom the foot of the building. What is the initial velocity of the stone?(II) An athlete performing a long jump leaves the ground at a 27.0° angle and lands 7.80 m away. (a) What was the takeoff speed? (b) If this speed were increased by just 5.0%, how much longer would the jump be?
- (II) The best rebounders in basketball have a vertical leap (that is, the vertical movement of a fixed point on their body) of about 120 cm. (a) What is their initial “launch” speed off the ground? (b) How long are they in the air?(1) A diver running 2.5 m/s dives out horizontally from the edge of a vertical cliff and 3.0s later reaches the water below. How high was the cliff and how far from its base did the diver hit the water?A ball is thrown vertically upward with a speed of 12.0 m/s. (c) How long does the ball take to hit the ground after it reaches its highest point?
- From the top of a building 40 m tall, a ball a thrown vertically upwards with a velocity of 10 ms -'. (a) After how long will the ball hit the ground? (b) After how long will the ball pass through the point from where it was projected? (c) With what velocity will it hit the ground? Take g= 10 ms¯².(II) A rocket rises vertically, from rest, with an acceleration of 3.2m/s2 until it runs out of fuel at an altitude of 775 m. After this point, its acceleration is that of gravity, downward. (a) What is the velocity of the rocket when itruns out of fuel? (b) How long does it take to reach this point? (c) What maximum altitude does the rocket reach?(d) How much time (total) does it take to reachmaximum altitude? (e) With what velocity does it strikethe Earth? (f) How long (total) is it in the air?(III) A diver leaves the end of a 4.0-m-high diving board and strikes the water 1.3 s later, 3.0 m beyond the end of the board. Considering the diver as a particle, determine: (a) her initial velocity, vo; (b) the maximum height reached; and (c) the velocity vf with which she enters the water.
- . i) A ball is thrown vertically up with an initial velocity of 20 m/s. (a) How high will it reach (b) How much time it will take to reach the highest point (c) With what velocity it reaches the point from where it was thrown(II) Extreme-sports enthusiasts have been known to jump off the top of El Capitan, a sheer granite cliff of height 910 m in Yosemite National Park. Assume a jumper runs horizontally off the top of El Capitan with speed 4.0 m/s and enjoys a free fall until she is 150 m above the valley floor, at which time she opens her parachute (Fig. 3–37). (a) How long is the jumper in free fall? Ignore air resis- tance. (b) It is important to be as far away from the cliff as possible before opening the parachute. How far from the cliff is this jumper when she opens her chute? 4.0 m/s 910 m 150 m FIGURE 3-37 Problem 26.(II) Roger sees water balloons fall past his window. He notices that each balloon strikes the sidewalk 0.83 s after passing his window. Roger’s room is on the third floor, 15 m above the sidewalk. (a) How fast are the balloons traveling when they pass Roger’s window? (b) Assuming the balloons are being released from rest, from what floor are they being released? Each floor of the dorm is 5.0 m high.