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Section 10.4

Section 10.4 - v t = 1 1 i 1 1 j-10t-1-1(10t 1 k r t = t 2...

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12/9/08 7:42 PM Section 10.4 Page 1 of 2 http://www.webassign.net/[email protected]/[email protected] Section 10.4 (Homework) MICKLES BRANDON L MA 242, section 008, Fall 2008 Instructor: April Alston Web Assign Current Score: 15.5 out of 18.5 Due: Friday, September 12, 2008 10:10 PM EDT Description Motion in Space The due date for this assignment is past. Your work can be viewed below, but no changes can be made. 1. [SCalcCC2 10.4.10.] 7/7 points Find the velocity, acceleration, and speed of a particle with the given position function. r ( t ) = <2 cos t , 3 t , 2 sin t > v ( t ) = < -2sin(t) -2*sin(t) , 3 3 , 2cos(t) 2*cos(t) > a ( t ) = < -2cos(t) -2*cos(t) , 0 0 , -2sin(t) -2*sin(t) > | v ( t )| = 3.606 3.61 2. [SCalcCC2 10.4.14.] 6/6 points Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. a ( t ) = -10 k , v (0) = i + j - k , r (0) = 2 i + 3 j

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Unformatted text preview: v ( t ) = 1 1 i + 1 1 j + -10t-1 -1*(10t+1) k r ( t ) = t+2 t+2 i + t+3 t+3 j + -5t^2-t -1*(5t^2+t) k 3. [SCalcCC2 10.4.24.] --/3 points A gun is fired with angle of elevation 30°. What is the muzzle speed if the maximum height of the 12/9/08 7:42 PM Section 10.4 Page 2 of 2 http://www.webassign.net/[email protected]/[email protected] shell is 310 m? (No Response) 156 m/s 4. [SCalcCC2 10.4.26.] 2.5/2.5 points A batter hits a baseball 3 ft above the ground toward the center filed fence, which is 10 ft high and 400 ft from home plate. The ball leaves the bat with speed 115 ft/s at an angle 50° above the horizontal. Is it a home run? (In other words, does the ball clear the fence?) Note: Use g = 32 ft/s 2 . yes no How high is the ball above the ground when it reaches the fence? 11.219 11.2 ft...
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Section 10.4 - v t = 1 1 i 1 1 j-10t-1-1(10t 1 k r t = t 2...

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