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Ch 02: Motion Along a Straight Line

Chapter 2, Problem 2

A brick is dropped (zero initial speed) from the roof of a building. The brick strikes the ground in 1.90 s. You may ignore air resistance, so the brick is in free fall. (b) What is the magnitude of the brick's velocity just before it reaches the ground?

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So in this problem stone is dropped from the top of the tower. Stone hits the ground in 3.80. Sounds is neglected. So the stone is falling under the influence of gravity. What is the stone speed as it touches the ground? The problem really only gives us T equals 3.80 seconds. We also know that consistently fall. The acceleration is just the acceleration of gravity on Earth, which is negative 9.81. Because for simple swim. And we also know since it's dropped from the top of the tower, no initial velocity that we I. Is equal to 0m/s. So we can start off by writing the kinetic equations which we call the F. B. I. Plus 50 squared goes the I squared 1-8. Other act delta X. Who's the I. C. Just want to have a T. Square given these parameters and we want to find the F. See that the easiest creation to use just one. Since we have t. We have egg, you know the B. I. Zero. So from one the F. Is equal to B. I. G. In this case times two we know that B. I. Zero. So we can substitute the values for G. M. T. To directly solve for you know that G is just squared A. T. is 3.8 was supposed Let me get that b. 37.2 meters per second. Now since it's asking for speed, it's just the positive value. Speed is just a magnitude of philosophy. So the answer choice is B. of this house.
Related Practice
Textbook Question
High-speed motion pictures (3500 frames/second) of a jumping, 210–μg flea yielded the data used to plot the graph in Fig. E2.54. (See 'The Flying Leap of the Flea' by M. Rothschild, Y. Schlein, K. Parker, C. Neville, and S. Sternberg in the November 1973 Scientific American.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Use the graph to answer these questions: (b) Find the maximum height the flea reached in the first 2.5 ms.

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Textbook Question
High-speed motion pictures (3500 frames/second) of a jumping, 210–μg flea yielded the data used to plot the graph in Fig. E2.54. (See 'The Flying Leap of the Flea' by M. Rothschild, Y. Schlein, K. Parker, C. Neville, and S. Sternberg in the November 1973 Scientific American.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Use the graph to answer these questions: (c) Find the flea's acceleration at 0.5 ms, 1.0 ms, and 1.5 ms.

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Textbook Question
A brick is dropped (zero initial speed) from the roof of a building. The brick strikes the ground in 1.90 s. You may ignore air resistance, so the brick is in free fall. (a) How tall, in meters, is the building?
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Textbook Question
A 15-kg rock is dropped from rest on the earth and reaches the ground in 1.75 s. When it is dropped from the same height on Saturn's satellite Enceladus, the rock reaches the ground in 18.6 s. What is the acceleration due to gravity on Enceladus?
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Textbook Question
A small rock is thrown vertically upward with a speed of 22.0 m/s from the edge of the roof of a 30.0-m-tall building. The rock doesn't hit the building on its way back down and lands on the street below. Ignore air resistance. (a) What is the speed of the rock just before it hits the street?
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Textbook Question
A small rock is thrown vertically upward with a speed of 22.0 m/s from the edge of the roof of a 30.0-m-tall building. The rock doesn't hit the building on its way back down and lands on the street below. Ignore air resistance. (b) How much time elapses from when the rock is thrown until it hits the street?
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