# AP Physics C

as she pick up her riders a bus driver traverses four successive displacements represented by the expression (-6.30 b)i-(4.00 b cos 40)i-(4.00 sin 40)j+(3.00 b cos 50)i-(3.00 b sin 50)j-(5.00 b)j here b represents one city block,a convenient unit of distance of uniform size; i is east; and j is north. the displacements at 40 degree and 50 degree represent travel on roadways in the city that are at these angles to the main east-west and north-south streets.(a)draw a map of the successive displacements(b)what total distance did she travel? (c)compute the magnitude and direction of her total displacements.

1. 👍 0
2. 👎 0
3. 👁 315
1. Well, you will have to draw the map
for displacements add x components and y components separately and for distances:
move 1
distance = 6.3
displacement east = -6.3 i
displacement north = 0 j

move 2
distance = 4
displacement east = -4 cos 40 = -3.06 i
displacement north= -4 sin 40 = -2.57 j

move 3
distance = 3
displacement east = 3 cos 50 = 1.93 i
displacement north=-3 sin 50 =-2.30 j

move 4
distance = 5
displacement east = 0 i
displacement north=-5 j

then total distance = 6.3+4+3+5

disp east = -6.3-3.06+1.93+0 =
disp North = 0 -2.57 -2.30 -5

tan angle = disp east/disp north
it will be in quadrant 3 (south west) here so that angle is south of west

1. 👍 0
2. 👎 0
posted by Damon
2. oh, put all those in units of b, city blocks :)

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### PHYSICS 1 ..

as she pick up her riders a bus driver traverses four successive displacements represented by the expression (-6.30 b)i-(4.00 b cos 40)i-(4.00 sin 40)j+(3.00 b cos 50)i-(3.00 b sin 50)j-(5.00 b)j here b represents one city block,a

asked by JOAN on November 25, 2012
2. ### UNIVERSITY PHYSICS 1

as she pick up her riders a bus driver traverses four successive displacements represented by the expression (-6.30 b)i-(4.00 b cos 40)i-(4.00 sin 40)j+(3.00 b cos 50)i-(3.00 b sin 50)j-(5.00 b)j here b represents one city block,a

asked by JOAN on November 24, 2012
3. ### possessive nouns

Write the noun in this sentence so it shows possession. The bus driver is named Mr. Ed. Would it be? The bus's driver is named Mr. Ed. I personally think the sentence should be rewritten to read, The bus driver's name is Mr. Ed

asked by Lulu on December 12, 2006
4. ### psych

Given the following problem: Pretend that you are a bus driver. You begin the day with an empty bus. At the first stop, you let on 10 passengers. At your second stop, 4 people get off the bus, and 12 people on. At your third stop,

asked by confused on March 2, 2007
5. ### algebra

In most businesses, increasing prices of products can negatively impact the number of customers. A bus company in a small town has an average number of riders of 800 per day. The bus company charges \$2.25 for a ride. They

asked by Anonymous on January 30, 2007

Cathy takes the bus home from work. In her hand she holds a 2 kg cake box, tied together with a string. As she ascends the steps into the bus,the box accelerates upward at a rate of 2.5m/s^2. what is the force exerted on the

asked by Sarah N H on January 24, 2010
7. ### Science

The rest stops the driver made are included in the calculations because that is hoe the problem is defined. However, suppose the bus driver's manager wants to know the average speed at which the driver was actually driving the bus

asked by Angelica on February 18, 2012
8. ### introductory Facts and concepts

On page 111 of your reading material there is a problem that requires you to calculate the average speed for a daylong bus trip. The rest stops the driver made are included in the calculations because that is how the problem is

asked by Anonymous on February 18, 2013
9. ### Math

Develop two-null hypothesis tests to ascertain if there are any statistical variances in the averages of bus route times and any statistical variance among the average performance of the bus drivers. Use the following information

asked by Mel on October 24, 2008
10. ### Math

For his 13th birthday Adam was allowed to travel down to Sarah's Sporting Goods store to purchase a brand new fishing pole. With great excitement and anticipation, Adam boarded the bus on his own and arrived at Sarah's store.

asked by Bailey on September 2, 2016

More Similar Questions