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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

# Additional Science Textbook Solutions

Conceptual Physical Science (6th Edition)

Life in the Universe (4th Edition)

University Physics (14th Edition)

College Physics: A Strategic Approach (4th Edition)

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

Introduction to Electrodynamics

- 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 time
*arrow_forward*A. 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_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_forward*Two kids decided to play with their toys, balls. The first kid is on the ground (0.00 meter), whereas the second kid is on top of a 10.00-meter tall building. The second kid threw his ball at the same time that the first kid throws another ball upward. At the time that the first kid’s ball reaches its maximum height, the two balls will collide. i.) Compute for the initial speed of the first kid’s ball. ii.) Determine at what time and at what height the two balls will collide.*arrow_forward*A kid throws a water balloon at a high wall. The balloon hits a 7.0 m high spot on the wall with a speed of 6.5 m/s. How fast does the kid throw the balloon? please show your work, including diagrams, algebraic equations, and enough written explanations that somebody who is not familiar with the problem could understand what you are doing.*arrow_forward* - Solve for the following problems. Show your solution Speed 1. A car starts from rest and attains a speed of 50 m/s in 15 seconds. a. How far has the car travelled in 15 seconds? b. What is the speed of car if it travels 567 meters? 2. A horse travels 65 km/hr with a distance of 5.98 km . a. How long does the horse travels? b. What is the new speed of the horse if he travels twice his time travelled? Velocity 1. It is 21,000 kilometers around the earth and the earth rotates in 24 hrs. How fast is it rotating? 2. Jessica jogs on a path that is 25 kilometers long to get to a park that is south of the jogging path. If it takes Jessica 2.5 hours then, what is the velocity? 3. How long will it take light moving at 300,000 km/s to reach us from the sun? The sun is 150,000,000 km from earth. 4. An auto travels going to Roxas City at a rate of 25 km/hr for 0.045 hour , then at 50 km/hr for 0.056 hr, and finally at 20 km/hr for 0.015 hour. Find the total…
*arrow_forward*Quick description In this lab you will study two-dimensional motion, specifically projectile motion. You will roll a ball down an inclined plane (a track with one end propped). The ball will fly off the end of the inclined plane and undergo projectile motion until it hits the ground. At the moment the ball is leaving the inclined plane, a photogate detector measures the time the ball takes to pass through the gate. Using the diameter f the ball and the photogate time, you can calculate the speed of the ball when it passed through the photogate. Based on the angle of the inclined plane, the initial speed for the projectile motion, and the distance the ball falls (Ay in figure), you should be able to predict the horizontal distance (Ax in figure) and compare it to your measured horizontal distance. 41cm Ball 121cm Inced Plane Table Inclined plane angle = sin ^-1 (41cm/121 cm) = 19.81° Ball diameter = 0.013 m Delta Y= 76 cm=0.76 m Time (s) Velocity (m/s) Delta X (m) 0.00707 0.184 0.654…*arrow_forward*Part A The 5.0-m-long rope in (Figure 1) hangs vertically from a tree right at the edge of a ravine. A woman wants to use the rope to swing to the other side of the ravine. She runs as fast as she can, grabs the When she's directly over the far edge of the ravine, how much higher is she than when she started? rope, and swings out over the ravine. Express your answer in meters. ν ΑΣφ h = m Submit Request Ans Part B Given your answer to Part A, how fast must she be running when she grabs the rope in order to swing all the way across the ravine? Express your answer in meters per second. ΑΣφ ? V = m/s Submit Request Answer Provide Feedback Next > Figure 1 of 1 5.0 m 3.0 m*arrow_forward* - The figure shows three paths taken along the horizontal axis. Each path begins at the circular dot beneath the letter denoting the path's name and ends at the very tip of the arrow. In your calculations, round to the nearest integer. A. What is the distance traveled, in meters, for path C? B. What is the magnitude of the displacement from start to finish, in meters, for path C? C. What is the displacement from start to finish, in meters, for path C?
*arrow_forward*The figure at right shows position-time graphs of two cars as they move along the same axis. Answer the following questions. a. What is the magnitude of the velocity of car C? b. Is the magnitude of the velocity of car D greater than, less than, or equal to that of car C? c. The equation for the position of car C as a function of time is given by x = mt + b. Determine the values and units of m and b. d. Assuming the cars continue to move in the same manner for 2 hours, what is the position of car C at t = 1 h.*arrow_forward*Write the actual function that you expect the velocity to obey as a function of time (recall that the initial velocity was 17 m/s). Your function should be a function of time (i.e. the t variable should be left as an independent variable) but all other values should be filled in with numbers. Based on your answer above, what type of curve would you expect the position vs. time function to obey? i.A constant (horizontal) curve? ii.A linear curve? iii.A quadratic (parabolic) curve? iv.Another type of curve, such as cubic, exponential, sine, square root, etc...? Circle an answer from above and explain how you use your answer to the above question and the relationship between position and velocity to arrive at your conclusion.*arrow_forward*

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