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D. Review your earlier interpretation of the speed for your small tape segment. (See section I.)
Is that interpretation valid for the entire motion that generated the tape?
Based on the speed for your piece of tape, could you successfully predict how far the object would move in:
How can you modify the interpretation of the speed so that it applies even to motion with varying speed?
What name is given to a speed that is interpreted in this way?
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Chapter 1 Solutions
Tutorials in Introductory Physics
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- 2. The position of a drone as a function of time is given by *(t) = ( 8 i + 1.5 k) + (-3 î + 2 j) t – 0.5 t2 j The units are missing in the constant coefficients above, i.e., "0.5" should be "0.5 m/s2". Include the correct units on all the constant coefficients in your answers below. a. What is the x-position of the drone as a function of time? b. What is the y-position of the drone as a function of time? c. How far away is the drone from its starting position at t = 3s? d. What is the acceleration vector? е. What is the velocity vector as a function of time? (One way to do this is to take the time derivative of the position vector.) f. Make a sketch of the x, y, and z positions of the drone as function of time. You just need the general shape. time time timearrow_forwardSolve it correctly please. Iarrow_forwardA. From the perspective of point x, vector a and vector b are approaching with around the same speed. From Joseph's perspective, the two are walking with around the same speed. Determine if vector a is approaching with the same speed, twice the speed, or half the speed from the perspective of vector b. Explain.B. Vectors x and y are moving with uniform velocities. If the image below is t = 0, how long will it take (in seconds) for vector x to be in the same position with vector y? How far should vector x have traveled (in meters) by the time it has overtaken the position of vector y? Show proper solution.arrow_forward
- You stand on the top of a tall building and throw a baseball directly downwards. When the baseball leaves your hand, it has a speed of 6 m/s. (Assume there is no air resistance for this problem) a. Four seconds after you throw it, what is the acceleration of the baseball? Show your work and explain your steps. b. Four seconds after you throw it, what is the velocity of the baseball? Show your work and explain your steps.arrow_forwardHello I need help with these questions. The graph is attached separately.arrow_forwarda.When is the particle moving in the positive direction? (Enter your answer using interval notation.) b.Draw a diagram to illustrate the motion of the particle and use it to find the total distance (in ft) traveled during the first 6 seconds. c.When is the particle speeding up?When is the particle slowing down? (answer in interval notation.)arrow_forward
- A student has assembled an arrangement of tracks on which a steel ball has the motion represented by the v versus t graph at the right. The ball is released from rest (v = 0 cm/s) at x = 46 cm when t = 0 s. a. At what time (to the nearest second) was the ball at x = 188 cm? Show your work, explaining how you determined your answer from the v versus t graph. b. What was the magnitude of the average velocity of the ball over the entire time interval shown on the graph (i.e., between t = 0 s and t = 20 s)? Show all work.arrow_forwardPlease explain how to find these answersarrow_forwardA truck is making a delivery and must take a few roads to go around a lake. The truck starts driving at 24 m/s [14 N of E] for 18 minutes. It then turns into a new road and drives 20 m/s [10 E of N] for 12 minutes. Finally, it drives 22 m/s [W] for 30 minutes. (Don't forget to convert to metres when solving and please include diagrams). a. What is the truck's displacement from its starting point? b. Calculate the average speed and average velocity over the entire trip.arrow_forward
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