a student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 18 m/s. the cliff is 50 m above a flat, horizontal beach. (a) what are the coordinates of the initial position of the stone? (b) what are the components of the initial velocity? (c) write the equations for the x-and y- components of the velocity of the stone with time. (d writhe the equation s for the position of the stone with

a student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 18 m/s. the cliff is 50 m above a flat, horizontal beach. (a) what are the coordinates of the initial position of the stone? (b) what are the components of the initial velocity? (c) write the equations for the x-and y- components of the velocity of the stone with time. (d writhe the equation s for the position of the stone with

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Description: a student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 18 m/s. the cliff is 50 m above a flat, horizontal beach. (a) what are the coordinates of the initial position of the stone? (b) what are the compon

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 27PP

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A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 18.0 m/s. The cliff is 50.0 m above a flat, horizontal beach as. (a) What are the coordinates of the initial position of the stone? (b) What are the components of the initial velocity? (c) Write the equations for the x - and y - components of the velocity of the stone with time. (d) Write the equations for the position of the stone with time. (e) How long after being released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does the stone land?
A track meet is held on a planet in a distant solar system. A shot-putter releases a shot at a point 2.0 m above ground level. A stroboscopic plot of the position of the shot is shown in the figure, where the readings are 0.76 s apart and the shot is released at time t = 0. (a) What is the initial velocity of the shot in unit-vector notation? (b) What is the magnitude of the free-fall acceleration on the planet? (c) How long after it is released does the shot reach the ground? (d) If an identical throw of the shot is made on the surface of Earth, how long after it is released does it reach the ground? y (m) 10 5 0 t=0 90 5 10 15 x (m) 20 20 25 30
During the siege of Constantinople that led to its conquest by the Ottomans in 1453, the Hungarian engineer Orban built a set of bombards (primitive cannon) to throw enormous stones at the city to breach its walls. The largest of these could throw a 300 kg stone a distance x = 2 km. Assume that the stone was launched at an angle of 0 = 45 degrees above the horizontal; in the absence of air resistance, this gives the largest range. a) What speed did the stone have to be launched at to achieve this range? b) How long was the ball in the air? c) How fast was the ball traveling at the apex of its flight?
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Alaskan rescue plane drops a package of emergency rations to stranded hikers. The plane is traveling horizontally at 40.0 m/s at a height of 100 m above the ground. Neglect air resistance. (a) Where does the package strike the ground relative to the point at which it was released? (b) What are the horizontal and vertical components of the velocity of the package just before it hits the ground? (c) What is the angle of the impact?
A log is floating on swiftly moving water. A stone is dropped from rest from a 75-m high bridge and lands on the log as it passes under the bridge. (a) What is the velocity of the stone when it lands on the log? (b) How long does it take the stone to reach the log? (c) If the log moves with a constant speed of 5.0 m/s, what is the horizontal distance between the log and the bridge when the stone is dropped? with explanation every solution
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a catapult launches a test rocket upward from well giving it a speed of 50 m/s at ground level. the engines then fire so that the rocket accelerated at 5 m/s^2 until it reaches an altitude of 750 m at which point it gos into free fall. what is the maximum altitde of the rocket?
An active volcano can eject red-hot rocks as it erupts. Suppose a large rock is ejected from a volcano with a speed of 35.0 m/s with an angle 35.0º above the horizontal. The rock strikes the ground at an altitude 50.0 m lower than its starting point. (a) Calculate the time as it strikes the ground? (b) What are the magnitude and direction of the rock’s velocity at the impact of the gropund? (C) With respect to the ground level, what is the maximum height of the rock? (D) What is the horizontal distance between the volcano and the impact point?
Professional golfers can drive the ball over 200 m. While air resistance is significant, its effects are nearly canceled because lift is gained from backspin on the ball, and so a reasonable description of the ball’s trajectory is obtained if air resistance is neglected. Suppose a golfer hits a ball 200 m on level ground, giving it an initial velocity at an angle of 45o. The duration of the impact of the club and ball has been measured to be 1.00 ms. a) Calculate the velocity of the ball just after it is struck b) What is the 0.0450 kg ball's change in momentum?