A golfer launches a tee shot down a horizontal fairway and it follows a path given by r(t) = (at, (85-0.1a)t, - 5t² +60t), where t≥0 measures time in seconds and r has units of feet. The y-axis points straight downthe fairway and the z-axis points vertically upward. The parameter a is the slice factor that determines how much the shot deviates from a straight path down the fairway.a. With no slice (a = 0), sketch and describe the shot. How far does the ball travel horizontally (the distance between the point the ball leaves the ground and the point where it first strikes the ground)?b. With a slice (a = 0.2), sketch and describe the shot. How far does the ball travel horizontally (along the y-axis)?c. How far does the ball travel horizontally (along the y-axis) with a = 2.5?

Step 1:When a = 0, the path of the shot simplifies to r(t) = ⟨at, 85t, -5t^2 + 60t⟩. This means the…

Answered: A golfer launches a tee shot down a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The magnitude of Ais 5.5 m, and this vector lies in the second quadrant and makes an angle of 34 ° with the +y-axis. What is the x-component?
Find the magnitude and the direction of the displacement in each of the following problems, using both graphical (geometric) method and trigonometric solutions.An athlete jogs 12.0 yards on a bearing of 40° N of W, and then turns and jogs 12.0 yards on a bearing of 30° S of W. (1 cm: 2 yd)
If vector a= (-15,-3h,3k), vector B= (-2h, 14, -k) and vector c= (-1,-5,0) determine the values of h and k such that a_|_b and a_|_c.
Consider the vector whose x- and y-components are given to be -1.7230 and -1.4940, respectively. Find the positive acute angle (reference angle) in degrees the vector makes with the x-axis. Enter only the numerical value. Round your answers off accurate to four decimal places.
Find a vector of magnitude 3 in the direction of v = 6i - 8k. The vector is (Oi+ (D)j+ (O k.
One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 1.60 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number i Units (b) Number i (c) Number i Units Units
For the following displacement vectors in meters: A = +4.0 - 5.0k, B=-3.0 +2.0k, and C= -3.0-2.0 +1.0k. Calculate (a) A −2B +3C, (b) A-B, (c) the angle between A and B, and (d) A × (B+C).
Hardy, an avid TikToker, decided to look at his wristwatch to tell his friend dolphins the current time. However, his dolphins only understand the time if it is stated in terms of the resultant vector when the hour hand and minute hand vectors are added together. Assume that both vectors point from the center, outward. The length of the hour hand is 6. 20 [cm]; while the length of the minute hand is 9. 50 [cm]. Assume the hour hand only moves every hour. Follow this format in answering each sub-item: a. Draw the position of the hour and minute hands on an analog clock for this time configuration. Label your illustration with relevant angles and magnitudes b. Decompose the components of each vector along the x and y direction. c. Calculate for the resultant vector and express in the form required in each item. What should Hardy tell the dolphins if the current time is: A. 5:15 PM, in bearing form? В. 1:40 PM, in component form?
Physics HW Cannot be hand-written, all steps must be typed out
2.1. Consider the displacement vector Ā=(3î +3j)m, B= (i – 4ĵ)m, and č=(-2î +5j)m. Use the component method to determine: a) The magnitude and direction of vector D = Ã+B+C. b) The magnitude and direction of vector E = -Ã-B+C 1
A graph of x vs. t4, with x on the vertical axis and t4 on the horizontal axis, is linear. Its slope is 51 m/s4 and its vertical-axis intercept is 8 m. Write an equation for x as a function of t. x = (8 m )t 4 − 51 m/s 4 x = (51 m/s 4 )t 4 + 8 m x=(51 m/s48 m)t4x=51 m/s48 mt4 x = (8 m )t 4 + 51 m/s 4

Recommended textbooks for you

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

Physics for Scientists and Engineers

Physics

ISBN:

9781337553278

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Lecture- Tutorials for Introductory Astronomy

Physics

ISBN:

9780321820464

Author:

Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden

Publisher:

Addison-Wesley

College Physics: A Strategic Approach (4th Editio…

Physics

ISBN:

9780134609034

Author:

Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher:

PEARSON

SEE MORE TEXTBOOKS