Concept explainers
Choose a point before the turnaround and another after.
In the space below, draw the velocity vectors and label them
Draw the vector that must be added to the velocity at the earlier time to obtain the velocity at the later time.
Is the name change in velocity that you used in sections I and II also appropriate for this vector?
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- Make a drawing of the path of an object in circular motion at constant speed. On that path, use a dot to represent the object’s position at time t1. Label this point as O, and draw a vector at O to represent the magnitude and direction of the object’s velocity at time t1. Draw another dot to represent the object’s position at a later time t2, shortly after t1, and label this point P. Draw a vector at P to show the magnitude and direction of the object’s velocity at time t2.arrow_forwardSuppose a projectile is fired with initial speed v, and angle e above the horizontal. a) Understand and plan. Draw a picture, establish a coordinate system for this problem and label your diagram. Make a table of known/given information and unknown/wanted information (this may involve reading the rest of the problem before starting). b) Using Kinematics, derive a symbolic expression for the maximum height reached by the projectile. Check the physical units of your expression. c) Using Kinematics, derive a symbolic expression for the total time the projectile is in the air. Check the physical units of your expression. d) Using Kinematics, derive an expression for the magnitude and direction angle of the projectiles velocity a time t after the object is fired. Check the physical units of your expression. e) Suppose that the projectile is fired with an initial speed of v, = 46.6 m/s and 0 = 42.2°, what is the magnitude and direction angle of the projectile's velocity t = 1.50 s after…arrow_forwardis Vectors are represented by arrows. The length of the arrows indicate the magnitude of the vector, and the arrowhead points to the direction of the vector. In our example, the displacement is drawn at a scale: 1 cm = 10 cm, directed to the east. ne EXERCISES 1. A group of mountain climbers walked 10 km north from their camp, then walked 20 km more to the east. a. What was the total distance walked by the mountain climbers? b. Determine the total displacement from the starting point. 2. I walked 1 km N, 2 km E, 3 km S, and then 4 km W. What is the total distance I traveled? What is my total displacement? The speed of an object is a measure of how fast it moves. If the object is moving from on position to another in a measured time, its average speed v is obtained by dividing the distan traveled by the time taken to cover the distance. In mathematical form, Speedarrow_forward
- Part C Based on the vector diagram in Part B, determine how far downstream of your starting point you will finally reach the opposite shore if the stream is 6.0 meters wide. ▾ View Available Hint(s) Hint 1. Find the time to cross the stream Notice that your velocity has been given in component form: 3.0 m/s across the stream and 4.0 m/s along the stream. Based on these velocity components, how long will it take you to cross the 6.0 meter wide stream? Express your answer in seconds. d= VE ΑΣΦ Submit Submit Request Answer 15. ΑΣΦ Provide Feedback Request Answer ? m 2 of 8 (> Next > 9:28 AM 6/19/2018arrow_forwardConstruct Vectors with Lengths Proportional to the Horizontal and Vertical Velocities: The images that follow are motion diagrams created based on a video analysis of the ball’s path. Use the fact that the lengths of displacement and velocity vectors are proportional to each other to draw a series of vectors that are proportional to the average x and y-velocity vector components during each 1/15th of a second time interval. Start with Frame 1 in each of the figures that follow. Place the tail of the first velocity vector at the ball’s location in frame 1 and then place the tail of the next vector at the ball’s location in frame 2 and so on.arrow_forwardTwo swimmers are crossing the river at an identical speed (relative to the water). The river speed is smaller than the swimmers’ speed. The first swimmer goes straight, and in this case the trajectory is deviated by the river flow. The second chooses to swim with an angle in order to arrive at a point exactly in front of the start point. 1. Draw a diagram of the velocity vectors of this situation, taking care to make all the vector lengths to the same scale. 2. Which swimmer will arrive first on the other shore of the river? Please include a brief paragraph justifying why which one so I can understand concept.arrow_forward
- Could you just explain part where they integrate the x and y components to get those equationsarrow_forwardI need helparrow_forwardYou fire a ball with an initial speed V0 at an angle (ϕ) above the surface of an incline, which is itself inclined at an angle (θ) above the horizontal (Figure below). a. Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. b. What angle ϕ gives the maximum range, measured along the incline? Ignore air resistance. c. Since there's no air resistance, this is a problem in projectile motion. The goal is to find the point where the ball's parabolic trajectory intersects the incline. It is best to choose the x-axis to be horizontal and direct to the right, the y-axis to be vertical and direct to the up, and the origin to be at the point where the ball is fired. In the projectile equations, the launch angle α0 is measured from the horizontal. What is this angle in terms of (θ) and (ϕ)?arrow_forward
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