A student begins her drive to school by traveling 14 miles in a direction of 45° north of east. Next, she travels 5 miles north. Finally, she travels 10 miles east when she arrives at school. a. Create a vector diagram showing the student's path b. Determine the magnitude of the resultant vector c. Determine the direction of the resultant vector (OR) d. Determine the total distance driven

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Transcription of Educational Content**

1. A student begins her drive to school by traveling 14 miles in a direction of 45° north of east. Next, she travels 5 miles north. Finally, she travels 10 miles east when she arrives at school.

   a. Create a vector diagram showing the student’s path  
   b. Determine the magnitude of the resultant vector  
   c. Determine the direction of the resultant vector (θR)  
   d. Determine the total distance driven  

2. A truck is traveling with a velocity of 35 m/s when the driver applies the brakes. After 5.0 seconds, the truck’s velocity is reduced to 25 m/s. Determine:

   a. The truck’s acceleration  
   b. The distance traveled in the first 5 seconds  
   c. The total time required to bring the truck to rest beginning when the driver first applies the brakes.

3. A stone is thrown upward with an initial velocity of 100 m/s from the roof of a building whose

(Note: The remainder of the third question is not visible in the image provided and cannot be transcribed here.)
Transcribed Image Text:**Transcription of Educational Content** 1. A student begins her drive to school by traveling 14 miles in a direction of 45° north of east. Next, she travels 5 miles north. Finally, she travels 10 miles east when she arrives at school. a. Create a vector diagram showing the student’s path b. Determine the magnitude of the resultant vector c. Determine the direction of the resultant vector (θR) d. Determine the total distance driven 2. A truck is traveling with a velocity of 35 m/s when the driver applies the brakes. After 5.0 seconds, the truck’s velocity is reduced to 25 m/s. Determine: a. The truck’s acceleration b. The distance traveled in the first 5 seconds c. The total time required to bring the truck to rest beginning when the driver first applies the brakes. 3. A stone is thrown upward with an initial velocity of 100 m/s from the roof of a building whose (Note: The remainder of the third question is not visible in the image provided and cannot be transcribed here.)
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