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An object is moving in the horizontal axis with a velocity of v, = (4i + 1j)". Its initial position is r, = (10i – 4j) m. After moving with a constant acceleration for 20 seconds, its velocity is v = (20i – 5j) Solve for the following: a. The components of the acceleration. b. The direction of the acceleration with respect to the x-axis. c. The position of the object at 25 seconds and its direction.

An object is moving in the horizontal axis with a velocity of v, = (4i + 1j)". Its initial position is r, = (10i – 4j) m. After moving with a constant acceleration for 20 seconds, its velocity is v = (20i – 5j) Solve for the following: a. The components of the acceleration. b. The direction of the acceleration with respect to the x-axis. c. The position of the object at 25 seconds and its direction.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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General Direction: Read and analyze the following questions and answer them very carefully. Write your step-by-step solution in any clean sheet of paper and box your final answer. Use three decimal places for all computation. 1. A bullet hits a target 2 cm below its aiming point. If the gun is 30 m away from the target, what is the total time of flight of the bullet as well as its initial velocity? 2. An object is moving in the horizontal axis with a velocity of v, = (4i + 1j)". Its initial position is r, = (10i – 4j) m. After moving with a constant acceleration for 20 seconds, its velocity is v = (20i – 5j). Solve for the following: a. The components of the acceleration. b. The direction of the acceleration with respect to the x-axis. c. The position of the object at 25 seconds and its direction. 3. A5 kg object is subjected to an acceleration given by a = (2i + 4j) Find the resultant force and its magnitude. 4. A3 kg object has a velocity of 3i " at one instant. 8 seconds later, its velocity is (5i + 7j)". Assuming the object was subject to a constant Net Force, what are the components of the force as well as its magnitude? 5. A5 kg box is being subjected to the following Forces: 5N North 11 N West 17 N South 3 N East 14 N E30°N Solve for the acceleration in unit vector form as well as its magnitude and direction.
Transcribed Image Text:General Direction: Read and analyze the following questions and answer them very carefully. Write your step-by-step solution in any clean sheet of paper and box your final answer. Use three decimal places for all computation. 1. A bullet hits a target 2 cm below its aiming point. If the gun is 30 m away from the target, what is the total time of flight of the bullet as well as its initial velocity? 2. An object is moving in the horizontal axis with a velocity of v, = (4i + 1j)". Its initial position is r, = (10i – 4j) m. After moving with a constant acceleration for 20 seconds, its velocity is v = (20i – 5j). Solve for the following: a. The components of the acceleration. b. The direction of the acceleration with respect to the x-axis. c. The position of the object at 25 seconds and its direction. 3. A5 kg object is subjected to an acceleration given by a = (2i + 4j) Find the resultant force and its magnitude. 4. A3 kg object has a velocity of 3i " at one instant. 8 seconds later, its velocity is (5i + 7j)". Assuming the object was subject to a constant Net Force, what are the components of the force as well as its magnitude? 5. A5 kg box is being subjected to the following Forces: 5N North 11 N West 17 N South 3 N East 14 N E30°N Solve for the acceleration in unit vector form as well as its magnitude and direction.
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