A) Given that 1 mile =1.609 km; 1 m = 100 cm; 1 km = 1000 m;1hp = 550 ft.lb/s; 1 Watt = 0.738 ft.lb/s; 1 liter = 3.531x10-2 ft3; 1 ft3 = 2.832x10-2 m3; convert the following:
1) 12 m/s into miles per hour

2) 3 m3 into cm3

3) 14 hp into Watts

4) 3 liters into m3

B) Hurricane Floyd moves at a speed of 41.0km/h in a direction 60o north of west.
5) For a coordinate system with the x axis pointing East and the y axis pointing North, what are the x and y components of the velocity vector?

6) Suppose Floyd travels for 1.5 h in this direction, what are the components of the displacement vector?

7) If Floyd then shifts to a speed of 25.0km/h in a direction 40o north of East, what are the x and y components of this new velocity vector?

8) If Floyd travels for 2.2h in the new direction, what are the components of the displacement vector?

9) What are the components of the displacement vector of its final (resultant) location relative to the original location?

10) What is the angle of the resultant position vector?

C) An bird descending towards a lake is moving at 10 m/s at an angle of 60o below horizontal.
11) If the sun shines directly overhead, how fast is the bird's shadow moving along the ground?

D) A girl drops a stone from rest into a well that is 30.0 m deep. g = 9.8 m/s2
12) What is the stone's speed just before it hits the bottom?

13) How long does it take for the stone to reach the bottom?

14) How far has the stone fallen after 0.5s?

15) What is the stone's speed after 0.5s?

16) What is the stone's acceleration after 0.5s?

17) If the speed of sound is 340m/s, how long after she drops the stone will she hear the splash?

E) A plane traveling at an altitude of 3000m and a constant velocity of 120m/s releases a bomb.
18) What is the bomb's initial x velocity at the instant it is released?

19) What is the bomb's initial y velocity at the instant it is released?

20) What is the bomb's initial x acceleration at the instant it is released?

21) What is the bomb's initial y acceleration at the instant it is released?

22) Assuming no air resistance, how long until the bomb hits the ground?

23) Assuming no air resistance, what is the horizontal distance the bomb travel's before hitting the ground?

24) Assuming no air resistance, what is the bomb's x velocity just before it hits the ground?

25) Assuming no air resistance, what is the bomb's y velocity just before it hits the ground?

26) Assuming no air resistance, what is the bomb's speed just before it hits the ground?

27) Assuming no air resistance, what is the bomb's velocity just before it hits the ground?

28) Where is the plane, relative to the bomb when it strikes the ground if the plane does not change its velocity?

29) Draw a picture of the path of the bomb.

F) A driver locks the brakes on his car and skids to a halt at constant deceleration leaving behind 24m of skid marks.
30) If the deceleration was 3m/s2, was the driver going faster than the speed limit of 20 m/s?

Bonus:
a) Describe the motion which would lead to the following graph on a tI graphing calculator with a CBL motion sensor attached.

b) Why do we need vectors in physics?