City A lies 270 km to the East and 230 km to the North of City B.  How far is City A from City B?

A satellite has two perpendicular thrusters with which it can maneuver. One thruster provides an acceleration of 8.0 m/s2 in the x-direction, while the other provides 4.5 m/s2 in the y-direction.  What is the direction of the satellite’s acceleration relative to the x-direction?

A person walks 35 m in a direction of 120 North of East, turn and walks 20 m in a direction of 700 North of East.  How far is the person from where they started?

A football player catches a pass 60 m from the end zone and runs down the sideline at vp = 6.0 m/s.  A defending player directly across on the other sideline, 53.3 yd (48.8 m) away, runs to intercept. If the defending player runs in a straight line, with what minimum speed (in m/s) must they run to intercept the player before reaching the end zone? Quiz 4 prob 4.png

A satellite has two perpendicular thrusters it can use to maneuver. Suppose the satellite is traveling at 4600 m/s in the x-direction when it fires its thrusters giving an acceleration of 20.0 m/s2 in the x-direction and and acceleration of 15.0 m/s2 in the y-direction. If the thrusters fire for 70 s, in what direction, (in degrees) relative to the x-direction, is the satellite traveling after firing?

A football player catches a pass and runs down the sideline at vp = 6.0 m/s.  A defending player directly across on the other sideline runs to intercept. If the defending player runs at vd = 9.0 m/s in a straight line, at what angle relative to the sideline should they run to intercept the player? Quiz Kinematics in Two Dimensions Problem 2.png

A boat crosses a 150 m wide river flowing at 8.0 m/s to reach a dock directly on the other side.  If the boat motor can propel the boat at 10.0 m/s across the water, how long (in seconds) will it take the boat to reach the dock assuming it travels in a straight line)?

A 5.00 gram bullet fired from a rifle of barrel length 0.650 m leaves the barrel with a speed of 325 m/s.  Assuming constant acceleration down the barrel, what was the force  acting on the bullet?

Prob 9 pic.png A person is suspended by a rope as shown.  If the person is simply hanging from the rope (acceleration = 0 m/s2), determine the tension in the rope if the mass of the person is 95 kg.

prob 12 pic.png An object slides down a frictionless incline as shown.  Determine the acceleration in (m/s2) for θ = 350.