question 8 (4 points)

duane and albert have a race. duane starts 5 m ahead of albert and runs forward at a speed of 3 m/s. albert runs forward at a speed of 4.2 m/s.

a. write an expression for duane's position in terms of t and vduane. (hint: set x = 0 at albert's starting point.) (1 point)

a is x=5+3t

b. write an expression for albert's position in terms of t and valbert. (1 point)

x=4.2t

c. at what time does albert catch up to duane? (hint: set the two expressions for position equal to each other and solve for time.) (1 point)

t=4.17 seconds

d. how far from albert's starting point are they when they meet? (1 point)

i solved a, b, c but donot know how to do d

The answer to your question is:

Explanation:

Data

Duane                                          Albert

d = 5 m ;  v = 3 m/s                     v = 4.2 m/s

a)                                                b)

Duane's                                      Albert's

d = 5 + (3)t                                  d = 4.2t

d = 5 + 3t

c)                            5 + 3t = 4.2t

                              4.2t - 3t = 5

                                      1.2t = 5

                                           t = 4.17 s

d)

Duane's

d= 5 + 3(4.17)

d = 17.51 m

Alberts

d = 4.2(4.17)

d = 17.51 m

the journeys of marquette, joliet and la salle a) new france expand.

all three of these explorers explored the midwest and the area around the great lakes, which they subsequently claimed for france.

this was a big portion of territory and expanded new france which before then only consisted of quebec province in northeastern canada