Atortoise can run with a speed of 0.14 m/s, and a hare can run 20 times as fast. in a race, they both start at the same time, but the hare stops to rest for 1.0 minutes. the tortoise wins by a shell (30 cm). (a) how long does the race take? s (b) what is the length of the race?

speed of tortoise is given as v1 = 0.14 m/s

speed of hare is given as v2 = 20*0.14 = 2.8 m/s

now let say the total length of the path is "d"

so the total time taken by the tortoise to cover this

now given that hare took rest for 1 min

so total time of run for hare is (t - 60)s

so the distance that hare covered is given by

now by above two equations

and the time t is given by

so part a)

t = 63 s

part b)

d = 8.82 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