Science Department
	Physics
	SPH 4A0
	Name: _______________
	Vectors Take Home Test

1)	Connie has her eye on a new dress for the prom and is trying to find her way to the mall to buy it.  She starts at her home and walks 600m [E47oN], then 500m [N38oW], then 300m [W29oS], and finally 400m [S13oE].  Using components of vectors, find Connie's resultant displacement.

2)	Martha and Christine are in a canoe paddling "north" across a river at 3.0 m/s.  (The canoe is always kept pointed at right angles to the river.)  The river is flowing east at 4.0 m/s and is 100 m wide.
	(a)	What is the velocity of the canoe relative to the river bank?

	(b)	Find the time required to cross the river.

3)	Mindy has recently earned her pilot's licence and wishes to take her classmates for a ride in her brand new DC-9.  (She always gets what she wants.)  After reaching the proper altitude, Mindy says that she now wants to fly "east".  The plane has a velocity of 350 km/h relative to the air.  A wind is blowing at 65 km/h [N].  Find the proper heading and the magnitude of the plane's velocity relative to the ground.

A boy in a car travelling at 10km/h [N] wants to throw a ball to a girl standing on the right hand side of the road. He is able to throw the ball at 20km/h. He wants the ball to go straight east, directly to her.

Relative to the car, which way should he throw the ball in order to do this?

Relative to the ground how fast will the ball travel to reach her?

5. A ball rolls up a hill, starting at 10m/s [up], and accelerating at 3.0m/s2 [down]. What is its velocity after

1.0s?
3.0s?
c)4.0s?
A ship travels at 30km/h [N30oE] for 10h, and then at 20km/h [W60oS] for 17h. What is its total displacement?

A man is standing on the deck of a freighter heading north, at 10km/h. He measures the wind velocity to be 10km/h [E]. What is the actual wind velocity?
A pilot wants to fly a huge square path over the ground, 100 km[N], 100km[E], 100km[S] and 100km [W]. Her plane has an air speed of 100km/h. There is a 50 km/h wind blowing to the south. For each leg of the trip determine:

the ground speed
the heading
the time in minutes.
What would be the savings in time if there were no wind?