SOLUTION: A woman jogs 4.2 km, 10° E of N and then 2.9 km E at the speed of 8 km/h. How much time would she have saved of she jogged directly to her generation ? In what direction should sh

Question 1201751: A woman jogs 4.2 km, 10° E of N and then 2.9 km E at the speed of 8 km/h. How much time would she have saved of she jogged directly to her generation ? In what direction should she have headed for this?
Can you also help me draw the vector direction? Only if its okay with you. Thank you
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A woman jogs 4.2 km, 10° E of N and then 2.9 km E at the speed of 8 km/h. How much time would she have saved of she jogged directly to her generation ?? destination ? In what direction should she have headed for this?
------------------
10° E of N is a heading of 010 degs, an angle of 80 degs with the x-axis.
East is heading of 090, parallel to the x-axis.
---
Using Vectors:
Label the points O, A and B in order.
Vector OA is 4.2 km at 080.
The x-component is 4.2*cos(80) = ~0.729 km
The y-comp is 4.2*sin(80) = ~4.14 km
------
For AB:
The x-comp is 2.9
The y-comp is 0 (zero).
---
Add the x and y comps:
x = 0.729 + 2.9 = 3.629
y = 4.14
---> point B is (3.629,4.14)
----
The distance OB = = ~5.5 km
The time difference in hours is 7.1/8 - 5.5/8
=================================
Can you also help me draw the vector direction? Only if its okay with you. Thank you
The "vector directions" are above, 80 degs and 0 degs wrt the x-axis.
The angle of OB wrt the x-axis = atan(y/x) = atan(4.14/3.629) = ~48.8 degs wrt the x-axis ---> a heading of 41.2 degs
RELATED QUESTIONS
if rachel jogs for awhile at 8 km/h and then walks at 5 km/h she travels 23km. if she... (answered by el_voceras)

A woman jogs for 2 km at 8 km/h and then walks for 2 km at 6 km/h. What is the average... (answered by josmiceli,nyc_function)

A woman jogs for 3 km at 9 km/h and then walks for 2 km at 6 km/h. What is her average... (answered by solver91311)

a woman jogs 2 km at 8km/h and then walks for 2 km at 6 km/h. what is her average speed... (answered by josmiceli,Alan3354)

Ann has walked 8 km with a velocity of 4 km/h. Now she will jog for some time with a... (answered by josgarithmetic,MathTherapy)

2. Brenda jogs and walks a loop that is 6 km long for exercise every day. Her walking... (answered by Theo)

A man walks for 12 km at x km/h and then jogs for another 12 km at (x + 2) km/h. He... (answered by alicealc)

Amber has entered a cross-country running series. Each race in the series has a time... (answered by mananth,MathTherapy)

When Elizabeth visits her friend Andrew, she must first walk uphill, then walk on level... (answered by hokies)