A force on a particle depends on position such that

(5 pts) Partial credit space to show how you did part b on Question 27.

(7 pts) Part b of Question 27

A = 250 m wide river flows with a uniform speed of = 4.0 m/s toward the east. I take off from the south bank in a boat that moves at = 6.0 m/s with respect to the water to arrive at point on the north bank directly north of my launch. How long did it take for my boat to make the journey?

Shown here is a plot of velocity as a function of time. Our position at time = 0 is = 0, and positive positions are to the right of zero. The position at = 4 s is…

When a cart of mass has a force applied to it for a distance , it will attain a velocity of . If instead a force of  is applied for a distance  to the same cart, what velocity will it have?

(7 pts) Part c of Question 27

Suppose you are talking by interplanetary telephone to a friend, who lives on the Moon. He tells you that he has just won a kilogram of gold in a contest. Excitedly, you tell him that you entered the Earth version of the same contest and also won a kilogram of gold! Who is richer?

(7 pts) Part a of Question 22

You would like to leave Boca Raton at rest to go to Miami and stop, a distance of 100 km. If you could accelerate at for half of your trip and decelerate at for the other half of your trip, how long would it take you to make this trip?