What was the original height of a building if a ball is tossed upward with an initial velocity of 12.0 m/s from the top and it reaches a speed of 40.0 m/s as it is at a height of 1⁄4 of the original height?
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- a rock is dropped from a vertical cliff. It takes 7.00s for the rock to reach the ground below the cliff. What is the height of the cliff?Water drops fall from the edge of a roof at a steady rate. A fifth drop starts to fall just as the first drop hits the ground. At this instant, the second and third drops are exactly at the bottom and top edges of a 130.-cm-tall window. How high (in m) is the edge of the roof?Question 9. Michael Jordan, formerly of the Chicago Bulls basketball team, has some fanatic fans. They claim that he is able to jump and remain in the air for two full seconds from launch to landing. Evaluate this claim by calculating the maximum height that such a jump would attain. For comparison, Jordan's maximum jump height has been estimated at about one meter. Ans: 4.9 m
- A bowling ball traveling with constant speed hits the pins at the end of a bowling lane 16.5 m long. The bowler hears the sound of the ball hitting the pins 2.61 s after the ball is released from his hands. What is the speed of the ball (in m/s), assuming the speed of sound is 340m/s?A hare and a tortoise compete in a race over a straight course 1.30 km long. The tortoise crawls at a speed of 0.230 m/s toward the finish line. The hare runs at a speed of 8.90 m/s toward the finish line for 1.040 km and then stops to tease the slow-moving tortoise as the tortoise eventually passes by. The hare waits for a while after the tortoise passes and then runs toward the finish line again at 8.90 m/s. Both the hare and the tortoise cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds. (a) How far is the tortoise from the finish line when the hare resumes the race?(b) For how long in time was the hare stationary?A proton (mass m = 1.67 x 10-27 kg) is being accelerated along a straight line at 2.20 x 1015 m/s² in a machine. The proton has an initial speed of 2.00 x 107 m/s and travels 4.1 cm. (a) What is its speed? (Give your answer to at least four significant figures.) m/s
- A rocket is fired vertically upward from the ground with an initial velocity of 580 ft / sec. Estimate how long it takes the rocket to reach the highest point.A rock is dropped from a 166-m-high cliff. How long does it take to fall (a) the first 83.0 m and (b) the second 83.0 m?A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10° to the right of her original course, and flies 2 h in the new direction. If she maintains a constant speed of 500 mi/h, how far is she from her starting position? (Round your answer to the nearest mile.)
- A suspicious-looking man runs as fast as he can along a moving sidewalk from one end to the other, taking 2.50 s.Then security agents appear, and the man runs as fast as he can back along the sidewalk to his starting point, taking 10.0 s.What is the ratio of the man’s running speed to the sidewalk’s speed?A pilot flies in a straight path for 1h 30 min. She then makes a course correction, heading 11 degrees to the right of her original course, and flies 2 h in the new direction. If she maintains a constant speed of 625 mi/h, how far is she from her starting position? (Round your answer to the nearest mile.)A gazelle and a mouse participate in a race over a 2.00 km long course. The gazelle travels at a speed of 15.0 m/s and the mouse can do 2.50 m/s. The gazelle runs for 1.600 km and then stops to tease the slow-moving mouse, which eventually passes by. The gazelle waits for a while after the mouse passes and then runs toward the finish line. Both animals cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds. (a) How far (in m) is the mouse from the finish line when the gazelle resumes the race? (b) For how long in time (in s) was the gazelle stationary?