# kinematics in two dimensions vectors and dynamics newton s laws of motion

Please solve the following problems. You must show all work for full credit. Work must be submitted in a word document.

**#1**. A ship has a top speed of 3 m/s in calm water. The current of the ocean tends to push the boat at 2 m/s on a bearing of due South. What will be the net velocity of the ship if the captain points his ship on a bearing of 55Â° North of West and applies full power? (10 points)

**#2**. An airplane is 5,000 m above an observer and 2.1 km to the west of them and 1.5 km to the north of you. Determine the angle to the plane in the x â€“ y axis and the total distance to the plane from you. Choose the x-axis east, y axis north, and z axis up. (10 points)

**#3**. A bullet is fired from a gun at a shooting range. The bullet hits the ground after 0.32 seconds. How far did it travel horizontally and vertically in this time if it was fired at a velocity of 1100 m/s? (20 points)

**#4**. A not so brilliant physics students wants to jump from a 3rd floor apartment window to the swimming pool below. The problem is the base of the apartment is 8.00 meters from the poolâ€™s edge. If the window is 20.0 meters high, how fast does the student have to be running horizontally to make it to the poolâ€™s edge? (10 points)

**#5**. If a 1500 kg car stopped from an in 5.6 seconds with an applied force of 5000 N, how fast was it initially traveling? (10 points)

**#6**. If the acceleration due to gravity on the Moon is 1/6 that what is on the Earth, what would a 100 kg man weight on the Moon? If a person tried to simulate this gravity in an elevator, how fast would it have to accelerate and in which direction? (10 points)

**#7**. A 7.93 kg box is pulled along a horizontal surface by a force F* _{P}* of 84.0 N applied at a 47.0

^{o}angle. If the coefficient of kinetic friction is 0.35, what is the acceleration of the box? (10 points)

**#8**. If a car is traveling at 50 m/s and then stops over 300 meters (while sliding), what is the coefficient of kinetic friction between the tires of the car and the road? (20 points)