4. The three symbols x,va have eight possible combinations of signs a. Draw a four-dot motion diagram of an object that has the signs for x,x given below. b. Draw the diagram above the coordinate axis provided. c. Draw the velocity and acceleration vectors (be sure to label) d. Indicate whether the object is "speeding up" or "slowing down" 1. (x, vx, ax) = (-,-,+) ||. (x,v₂,₂)=(+,-,-) O O X X
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- 6. A car travels 21 miles in 20 minutes.a. How many hours did the car spend traveling?b. What was the average velocity of the car in miles per hour during its trip?c. After reaching its destination, suppose the car travels an additional 100 milesover 2.5 hours. Find the average velocity of the car in mph over this second trip.d. Find the average velocity of the car in mph over the combined legs of the trip.e. Draw and label a position vs. time graph showing the trip the car made. Includelines for each leg of the trip as well as the combined journey.f. Compare the slopes of each line. Are any of the average velocities the same?Should they be?5. The area under a curve in a velocity versus time graph represents: a. Distance traveled. b. Displacement. c. Speed. d. Velocity. e. Acceleration. Explain your reasoning:1. Considering a unit vector u4 = A / A, which of the following are properties of u,? (circle all correct responses) a. u, has the same units as A b. ил1 c. u, points in the same direction as A d. uA < A e. u, is unitless 2. Considering two force vectors F1 = Fii+ Fj+ F1,k and F2 = F2i+ Fj + F2,k with their unit vectors ui = F1 / F; = (u1x) i+ (u1) j+ (u12) k and uz = F2 /F2= (u2) i+ (uz) j+(uz:), which of the following are valid calculations for the resultant force FR=F1+ F;? (circle all correct responses) a. FR = (Fix+ F2)i+(Fiy+ F2) j+(Fiz+ F2) k b. FR = (F1 + F:) [(uix+ u2x)i+(uiy + u2) j+ (uiz + u2) k] c. FR = (F? + F?)0S [(u!x+ u2) i+ (uiy + uz) j+ (uiz + u2:) k] d. FR = (F1uix+ Fru2x)i+ (F1u1y+Fruz»)j+(F1u1:+ F2uz)k %3D 3. Consider two vectors A and B with unit vectors u4 = A/ A and ug = B / B and angle between A and B is 0. Which of the following are correct with regard to dot products? (circle all correct responses) a. A-B is a scalar b. A·B is a vector c. If A and B are…
- 2. What is the motion function x(t) of the runner? Hint: x(t) = (slope) t + intercept . x(t) = 3. What is the rate-of-change (derivative) of x(t) ? dx/dt = 4. What is the velocity of the runner ? Exercise A runner is running at a "steady pace". The following picture shows the location of the runner at five different readings of a stopwatch. 0.0 s 10 s 25 s 50 s 30 m 50 m 90 m 130 m 1. Plot the five "events" (t,x) and draw the worldline of the runner on the spacetime diagram: 140 - 120 - 100 – X (m) 80 - 60 - 40 – 20- t(s) 10 20 30 40 501. Speed is directly proportional to the length of time travel. TRUE OR FALSE 2. In a simulation activity, when a man is moving towards the house, the position versus time graph that you observed is a straight line sloping upward. TRUE OR FALSE 3. In a simulation activity, when a man is moving towards his initial position from the house, the position versus time graph that you observed is a straight line sloping downward. TRUE OR FALSE 4. The average speed is the same as the instantaneous speed when traveling at constant speed. TRUE OR FALSE 5. In free fall motion, the velocity versus time graph is a straight line sloping upward. TRUE OF FALSE 6. The higher the object dropped, the larger its acceleration. TRUE OR FALSE 7. The slope of velocity versus time graph in free fall motion corresponds to acceleration of a falling body. TRUE OR FALSE3. Irina dives from a 25-meter high platform into a water (see diagram ). 25 m a. Irina's acceleration as she is falling from the platform. What hypothesis(s) must you make in order to state this value as the acceleration? Explain. c. Use kinematic equations to fill in the table below. Time (s) Velocity (m/s) Fallen Distance ( m) Height (m) 25 0.5 1.0 1.5 2.0
- Harvey walked 100 meters east. Stopped. Then walked 60 meters west. 8. Which is true about Harvey's motion? A. Magnitude of distance is greater than magnitude of displacement. B. Magnitude of distance is equal to mangnitude of displacement. C. Magnitude of distance is smaller than magnitude of displacement, D. Magnitude of distance is large. Magnitude of displacement is 0. Maria walked 80 meters west. Stopped, Then walked 60 meters west. 9. Which is true about Maria's motion? A. Magnitude of distance is greater than magnitude of displacement. B. Magnitude of distance is equal to magnitude of displacement. C. Magnitude of distance is smaller than magnitude of displacement. D. Magnitude of distance is large. Magnitude of displacement is 0. Lorenzo walked 50 meters east. Stopped. Then walked 30 meters east. Vernon walked 100 meters enst, Stopped. Then walked 20 meters west. 10. Which is true about Lorenze and Vernon's motions? A. Lorenzo and Vernon moved equal distances. B. Lorenzo moved…A. using your measured distance (35 inches) your average time of motion (drop times 2.04s,1.78,2.26,1.59,1.87 and 1.91)and the constant acceleration equation (x=1/2 at^2)calculate the acceration of the atwood machine. B. using m2-m2/m1+m2(9.8)=20/40=0.5x9.8=4.9 and the masses (60,70g) calculate the expected acceleration. C. what quanatiative compariosn is most appropriate between your results (percent difference or error)?True or False? Answer all. It is easy to answer all. Thanks
- Which of the following statements are TRUE? Choose all that apply. (HINT: The statements that are false should contradict themselves or a definition.) 1. An object can simultaneously be moving and have zero velocity. 2. An object can simultaneously have zero velocity and have constant position. 3. An object can simultaneously have positive velocity and have constant acceleration. 4. An object can simultaneously have positive displacement and be traveling a positive distance. 5. An object can simultaneously be traveling a negative distance and have constant positive acceleration. 6. An object can simultaneously have positive acceleration and have positive velocity.Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement. Her final positionA. Is positive. B. Is negative. C. Could be either positive or negative.2. Position vs. time: a.Type of graph: Scatter b.X: elapsed time, Δt. Column D. c.Y: position (m). Column F. d.Trendline: Polynomial, 2nd degree. Show the equation and set the y-intercept on your chart to zero. e.Your Third value for acceleration lies here.