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:
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Q: Can you please answer this question and show the steps
A: It is given that
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- The equation for position x (meters) for a particle moving horizontally with a constant acceleration of a = 8.128 m/s2 when the particle was initially at rest with v0 = 0 m/s and x0 = 0 meters is in the form of a second order polynomial. The value of the constant immediately preceding the t2 in that second order polynomial equation for position x (meters) is most closely:When there is no air resistance what best describes the vectors of a projectile in motion O The acceleration vector and velocity vector are both constant magnitude. The acceleration vector is constant and points straight down. The velocity vector is perpendicular to the trajectory O The acceleration vector is constant magnitude and perpendicular to the trajectory. 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 trajectoryThe wind velocity v is 40 miles per hour from east to west while an airplane travels with air speed v2 of 100 miles per hour due north. The speed of the airplane relative to the earth is the vector sum vị + V2. (a) Find vị + v2. (b) Draw a figure to scale. + V2•
- 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/sYou 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/sWhat 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?