5. A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x = and y = 4.00t – 4.90t², where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball’s position as a function of time, using the unit vectors i and j. By taking derivatives, obtain expressions for (b) the velocity vector v as a function of time and (c) the acceleration vector a as a function of time. 18.0t -

5. A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x = and y = 4.00t – 4.90t², where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball’s position as a function of time, using the unit vectors i and j. By taking derivatives, obtain expressions for (b) the velocity vector v as a function of time and (c) the acceleration vector a as a function of time. 18.0t -

Name: 5. A golf ball is hit off a tee at the edge of a cliff. Its x andy co
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: 5. A golf ball is hit off a tee at the edge of a cliff. Its x andy coordinates as functions of time are given by x = 18.0tand y = 4.00tis in seconds. (a) Write a vector expression for the ball’s– 4.90t², where x and y are in meters and t-positioni a

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...

See similar textbooks

Similar questions

Figure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector D22D1, or (e) is it none of them? Figure OQ1.13
A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x = 17.2t and y = 4.16t − 4.90t2, where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball's position as a function of time, using the unit vectors î and ĵ. (Give the answer in terms of t.) = m By taking derivatives, do the following. (Give the answers in terms of t.) (b) obtain the expression for the velocity vector as a function of time = m/s(c) obtain the expression for the acceleration vector as a function of time = m/s2(d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.18 s. = m = m/s = m/s2
A velocity vector, with magnitude v= 50.8m/s , is directed vertically upwards. The coordinate axes are chosen such that the x axis is rotated clockwise by an angle θ= 45.6∘ below the horizontal, as shown. What is the x component, in meters per second, of the velocity vector, v→? What is the y component, in meters per second, of the velocity vector, v→?
From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 9.50 m/s and angle of 15.0° below the horizontal. It strikes the ground 6.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0. Assume SI units. Do not substitute numerical values; use variables only.) xi =____ yi =_____ (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. vi, x =____ m/s vi, y =____ m/s c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y0 and t. Assume SI units.) x =______ m y =_______ m (d) How far horizontally from the base of the building does the ball strike the ground? ___m (e) Find the height from which the…
From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.30 m/s and angle of 25.0° below the horizontal. It strikes the ground 6.00 s later.(a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0. Assume SI units. Do not substitute numerical values; use variables only.)xi = yi = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity.vi, x = m/svi, y = m/s (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y0 and t. Assume SI units.)x = my = m (d) How far horizontally from the base of the building does the ball strike the ground? m (e) Find the height from which the ball was thrown. m (f) How long does it take the ball…
From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 7.50 m/s and angle of 18.0° below the horizontal. It strikes the ground 5.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0. Assume SI units. Do not substitute numerical values; use variables only.) xi = − yi = (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y0 and t. Assume SI units.) x = y = (f) How long does it take the ball to reach a point 10.0 m below the level of launching?
From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.80 m/s and angle of 16.0° below the horizontal. It strikes the ground 4.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0. Assume SI units. Do not substitute numerical values; use variables only.) xi = yi =
A sailor in a small boat encounters shifting winds. She sails 8 km south, then 15 km 30o E of N, and then 12 km 25o N of W. Use the polygon method to determine the magnitude and direction of her resultant displacement.
A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x=18.0t and y=4.00t−4.90t 2 , where x and y are in meters and t is in seconds. (a) Write a vector expression for the balls position as a function of time, using the unit vectors i^ and j^ . By taking derivatives, obtain expressions for (b) the velocity vector v as a function of time and (c) the acceleration vector a as a function of time. (d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t=3.00s.
A rabbit runs across a parking lot on which a set of the coordinate axis has been drawn. The coordinates of the rabbit’s position as a function of time t are given by: x = -0.3t2 + 5t + 28 and y = 0.22t2 - 8t + 30 with t in seconds and x and y in meters. What is the velocity at t= 10 sec?
An electron’s position is given by ,with t in seconds and in meters. (a) In unit-vector notation, whatis the electron’s velocity ? At t 2.00 s, what is (b) in unit-vector notation and as (c) a magnitude and (d) an angle relative tothe positive direction of the x axis?
Consider the following position vector. If the distance units are in meters and the time units are in seconds, what are the units on the number 20 and the number 42? r=20ti - 42t^2j