Question

Question7 Billie travels 3.2 km due east in 0.1 hr, then 3.2 km at 15.0 degrees eastward of due north in 0.21 hr, and finally another 3.2 km due east in 0.1 hr. What is the average velocity for the entire trip? Select the correct answer CHECK ANSWER 0 of 1 attempts used LAST ATTEMPT O 7 km/hr O 3 km/hr O 13 km/hr O 19 km/hr O 25 km/hr

Answer 1

Let take east direction as +x axis and north direction as +y axis.

Therefore

thus

and

Finally

Now,

the total displacement in the x direction is

and   

by plugging all the values we get

thus the magnitude of total displacement is

by plugging all the values we get

which gives us

and total time taken during this trip is

hence the average velocity of the entire trip is

Hence

the average velocity of the entire trip is

  

Option - 4 is correct answer