Consider a physical situation in which a particle moves from point A to point B. This process is described from two coordinate systems that are identical except that they have different origins. Determine whether the quantities below are the same or different when expressed in these two coordinate systems: Displacement Velocity Distance • Position • Direction • Coordinate Same in each coordinate system: Different in each coordinate system:

An object located at ?⃗0 = (1, 1) ? is displaced by Δ?⃗01 = −2?̂ − 5?̂ ? The object is then displaced by Δ?⃗12 = 3?̂ + 2?̂ ? a) Draw a picture b) What is the final position (?⃗2) of the object? c) How far did the object travel during each displacement? (?: 5.39 ?; 3.61 ?) d) What is the total distance travelled by the object? (?: 9 ?) e) How far did the object end up from where it initially started?(?: 3.16?)

A supply plane flies horizontally with a speed of 100 m/s and an altitude of 350 m. Use g = -10 m/s/s. A) What are the initial velocity components of an object that is dropped from the plane at the instant it is dropped? B) How fast is an object that is dropped from the plane traveling 7.5 seconds later?  C) What angle, below the horizontal, does the velocity vector of an object that is dropped from the plane make 7.5 seconds later?  D) How long does it take for an object that is dropped from the plane to hit the ground when air resistance is neglected?  E) How far does an object that is dropped from the plane travel in the horizontal direction?

Lesson: Projectiles When there is air resistance present how to the velocity and acceleration vectors behave? O The acceleration vector is perpendicular to the trajectory and the velocity vector is at a tangent to it. O The acceleration changes throughout the flight with its x-component opposite the direction of motion. The velocity vector is at a tangent to the trajectory O The acceleration vector is constant and points straight down. The velocity vector is at a tangent to the trajectory O The acceleration and velocity vectors are both constant magnitude but continually change direction.

A fighter plane moving 233 m/s horizontally fires a projectile with speed 59 m/s in a forward direction 30.0° below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground? a) 249 m/s Ob) 2660 m/s c) 288 m/s d) 286 m/s

You have exactly 4 minutes 12 seconds to get to your next class on time and that classroom is 218 m east of where you are right now. First you run to your dorm room at an average velocity of 5.08 m/s to the south to pick up your calculator and your dorm room is 248 m south of where you were initially. What average velocity (magnitude only) do you now need to run from your dorm room to your classroom to arrive exactly on time? 5.08 m/s 1.63 m/s 1.85 m/s 1.31 m/s

What is the magnitude of the two vetors: A: 4.00 i + 7.00 j and B: 5.00 i - 2.00 j ?  What is the expression for A-B? What is the magnitude and direction of A-B? Vector diagram show A, b and A-B, and agrees with the the previous question?

What is the displacement (mm) of the dots ? Displacement (mm) Y1 = Y2 =  Y3 = Y4 = Y5 = Y6=  Y 7 = Y 8 = Y9 = Y 10 = Y 11 = Y 12 = Y 13 = Y 14 =