B. In the space at right, compare the velocities at points 1 and 2by sketching the vectors that represent those velocities.
Draw the vectors side-by-side and label them
Draw the vector that must be added to the velocity at the earlier time to equal the velocity at the later lime. Labelthis vector
Why is the name change in velocity appropriate for this vector?
How does the direction of the change in velocity vector compare to the direction of the velocity vectors?
Would your answer change if you were to select two different consecutive points (e.g., points 3 and 4) while the ball was slowing down? Explain.
How would the magnitude of the change in velocity vector between points 1 and 2 compare to the magnitude of the change in velocity vector between two different consecutive points (e.g., points 3 and 4)? Explain. (You may find it useful to refer to the graph of velocity versus time for the motion.)
Now: The positive direction has been chosen to be up the track.
Trending nowThis is a popular solution!
Learn your wayIncludes step-by-step video
Chapter 1 Solutions
Tutorials in Introductory Physics
Additional Science Textbook Solutions
Conceptual Physical Science (6th Edition)
The Cosmic Perspective Fundamentals (2nd Edition)
Life in the Universe (4th Edition)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
- VECTOR ADDITION I. Determine the resultant of the following. Show your complete solution and the illustration. 1. 30 m W and 75 m N 2. 2km E and 4.5 km Sarrow_forward1. Draw a diagram for the vectors and answer the question.A. From the same starting point, vector x is moving northeast while vector y is moving southward. Determine the direction/position of vector y with respect to vector x. B. Vector A is moving from the east while Vector B is moving southeast. At certain time t, the two vectors are bound to meet (in a 2d graph, B is above A and is approaching A). What is the position of B relative to A.arrow_forwardGive all a, b and c right solutions. A bullet was fired at a certain point A at an angle of 90 o from an inclined surface with slope of 5 vertical and 12 horizontal, and hit the surface at a distance of 70 m from point A measured along the inclined surface. a. What is the initial velocity(in m/s)? b. What is the maximum height (in m) reached by the bullet? c. What is the time (in sec) required for the bullet to hit the inclined plane?arrow_forward
- Vectors: a.) Can you find two vectors with different lengths that have a vector sum of zero?Explain your answer in detail. b.) Can the magnitude of an object’s displacement be larger than the distance it hastraveled? What is the condition for them being equal. Explain your answers in detail.arrow_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_forwardA gardener walks in a flower garden as illustrated in the figure below. What distance does the gardener travel?m A coordinate plane has a horizontal axis labeled Distance (meters) and a vertical axis that is also labeled Distance (meters). A garden path is drawn on the coordinate system, and four arrows represent the path the gardener walks. The arrows are as follows:From (0,6) to (2,6),from (2,6) to (2,5),from (2,5) to (4,5),and from (4,5) to (4,3).arrow_forward
- Please help with parts g and h Two velocity vectors are defined as follows: v1 = 40.0 m/s, 50.0 degrees cw from the +x axis v2 = 30.0 m/s, 75.0degrees cw from the -y axis d) Calculate the x- and y-components of v2. Write the vector v2 in terms of its components using unit vector notation. e) Calculate the x- and y-components of the change in velocity defined as Δv= v2-v1. Write the vector Δv in terms of its components using unit vector notation. f) Sketch the vector Δv on an x-y grid. Define a relevant angle symbolically whose numerical value you will calculate in the next part. g) Calculate the magnitude and direction of the vector Δv. h) Finally, write the vector Δv in terms of its magnitude and direction.arrow_forwardPage The heights of a rock after t seconds, when propelled straight up with an initial speed of 80 feet per second from an initial height of 20 feet, can be modeled by the function s(t) = -16t² + 80t +20. When will the height of the rock be 50 feet? Round your answer to the nearest tenth of a second. Carrow_forwardWhich of the following statement/s is/are false about base vectors en and et? 1. Their derivative with respect to time is not equal to zero. II. They can be expressed in terms of rectangular coordinates base vectors. III. They serve as the bases for the velocity and acceleration vectors. O a. Statement II only O b. Statements II and III O c. Statement I only O d. None of the statements are false. O e. Statements I and IIIarrow_forward
- Suppose 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_forwardk as done 1. A cannon that is set on a ridge, it fired a cannon ball horizontally with a speed of 340 m/s, the ball landed on the ground at a distance of 3000 m from the cannon. a. Calculate the time taken by the ball to reach its final position. b. Calculate the total vertical displacement to the cannon ball. c. Deduce the height of the ridge. hts Class comments vate comment. 2. A bullet was shot by a gun with an initial speed of 260 m/s and is fired at an angle of 30° to the ground. a. How much is the value V, at the top of the bullet's trajectory? b. Calculate the time taken by the bullet to reach its maximum altitude. c. Deduce the total time taken by the bullet in the air. d. Calculate the range of the bullet.arrow_forwardSame paths, different velocity The position functions of objects A and B describe different motion along the same path for t ≥ 0.a. Sketch the path followed by both A and B.b. Find the velocity and acceleration of A and B and discuss the differences.c. Express the acceleration of A and B in terms of the tangential and normal components and discuss the differences. A: r(t) = ⟨cos t, sin t⟩ , B: r(t) = ⟨cos 3t, sin 3t⟩arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning