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Kilauea is a current active Hawaii volcano. Recently she ejected large red-hot rocks some the size of refrigerators! Suppose a rock is ejected from the volcano with a speed of 25 m/s and at an angle of 35° above the horizontal, as shown above. The rock strikes the ground at an altitude 20.0 meters lower than its starting point at the level of the cinder cone. Ignoring air resistance and using a coordinate system whose origin is located at the launch point as shown below, answer the following; Vo = 25 m/s 35° -20 m a. At what time, tstrike , does the rock strike the ground? Hint: since you know the initial and final values of y you can use the y-equation to find the time of impact ----BUT you will have to make use of the quadratic formula (make life easier and use g=10) b. What is the velocity vector of the rock at the point of impact? Now that you know t, from part a, you can find the velocity vector from i = öx+ öy , where vz = v;cos0î, and vy= (v;sin0 – gt)

Kilauea is a current active Hawaii volcano. Recently she ejected large red-hot rocks some the size of refrigerators! Suppose a rock is ejected from the volcano with a speed of 25 m/s and at an angle of 35° above the horizontal, as shown above. The rock strikes the ground at an altitude 20.0 meters lower than its starting point at the level of the cinder cone. Ignoring air resistance and using a coordinate system whose origin is located at the launch point as shown below, answer the following; Vo = 25 m/s 35° -20 m a. At what time, tstrike , does the rock strike the ground? Hint: since you know the initial and final values of y you can use the y-equation to find the time of impact ----BUT you will have to make use of the quadratic formula (make life easier and use g=10) b. What is the velocity vector of the rock at the point of impact? Now that you know t, from part a, you can find the velocity vector from i = öx+ öy , where vz = v;cos0î, and vy= (v;sin0 – gt)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Kilauea is a current active Hawaii volcano. Recently she ejected large red-hot rocks some the size of refrigerators! Suppose a rock is ejected from the volcano with a speed of 25 m/s and at an angle of 35° above the horizontal, as shown above. The rock strikes the ground at an altitude 20.0 meters lower than its starting point at the level of the cinder cone. Ignoring air resistance and using a coordinate system whose origin is located at the launch point as shown below, answer the following; Vo = 25 m/s 35° -20 m a. At what time, tstrike , does the rock strike the ground? Hint: since you know the initial and final values of y you can use the y-equation to find the time of impact ----BUT you will have to make use of the quadratic formula (make life easier and use g=10) b. What is the velocity vector of the rock at the point of impact? Now that you know t, from part a, you can find the velocity vector from i = öx+ öy , where vz = v;cos0î, and vy= (v;sin0 – gt)
Transcribed Image Text:Kilauea is a current active Hawaii volcano. Recently she ejected large red-hot rocks some the size of refrigerators! Suppose a rock is ejected from the volcano with a speed of 25 m/s and at an angle of 35° above the horizontal, as shown above. The rock strikes the ground at an altitude 20.0 meters lower than its starting point at the level of the cinder cone. Ignoring air resistance and using a coordinate system whose origin is located at the launch point as shown below, answer the following; Vo = 25 m/s 35° -20 m a. At what time, tstrike , does the rock strike the ground? Hint: since you know the initial and final values of y you can use the y-equation to find the time of impact ----BUT you will have to make use of the quadratic formula (make life easier and use g=10) b. What is the velocity vector of the rock at the point of impact? Now that you know t, from part a, you can find the velocity vector from i = öx+ öy , where vz = v;cos0î, and vy= (v;sin0 – gt)
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