A ball rolls off the edge of a table. Let the time the ball leaves the table surface be t = 0. If the table is horizontal, its velocity as a function of time is given by✓ = 1.10î - 9.80tĵ,with v in m/s and t in s. The ball's displacement from the edge of the table from t = 0 to t = 0.395 s (while it is in flight), is given byAr =JoAr =0.395Use this theorem to perform the integration:v dt.[ [ P + Qf(x)] dx = p[ dx + Q f f(x) dx.P[Consider the units and unit vectors to be the constants P and Q. Integrate to determine the ball's displacement (in m) from the table edge at 0.395 s. (Express your answer in vector form. Do not include units inyour answer.)m

Name: A ball rolls off the edge of a table. Let the time the ball leaves th
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: A ball rolls off the edge of a table. Let the time the ball leaves the table surface be t = 0. If the table is horizontal, its velocity as a function of time is given by✓ = 1.10î - 9.80tĵ,with v in m/s and t in s. The ball's displacement from the ed

Answered: Image /qna-images/answer/e53a7ac2-9830-4f3e-babe-38c092dba8f2.jpg

Science

Physics

A ball rolls off the edge of a table. Let the time the ball leaves the table surface be t = 0. If the table is horizontal, its velocity as a function of time is given by V = 1.101 - 9.80tj, with v in m/s and t in s. The ball's displacement from the edge of the table from t = 0 to t = 0.395 s (while it is in flight), is given by - 60.3⁹5- Ar= Use this theorem to perform the integration: [[P+Qf(x)] dx Ar = v dt. m = p[ dx + Q [ f(x) dx. Consider the units and unit vectors to be the constants P and Q. Integrate to determine the ball's displacement (in m) from the table edge at 0.395 s. (Express your answer in vector form. Do not include units in your answer.) dx= P

A ball rolls off the edge of a table. Let the time the ball leaves the table surface be t = 0. If the table is horizontal, its velocity as a function of time is given by V = 1.101 - 9.80tj, with v in m/s and t in s. The ball's displacement from the edge of the table from t = 0 to t = 0.395 s (while it is in flight), is given by - 60.3⁹5- Ar= Use this theorem to perform the integration: [[P+Qf(x)] dx Ar = v dt. m = p[ dx + Q [ f(x) dx. Consider the units and unit vectors to be the constants P and Q. Integrate to determine the ball's displacement (in m) from the table edge at 0.395 s. (Express your answer in vector form. Do not include units in your answer.) dx= P

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 28P: In a classic clip on Americas Funniest Home Videos, a sleeping cat rolls gently off the top of a...

See similar textbooks

Similar questions

In a classic clip on Americas Funniest Home Videos, a sleeping cat rolls gently off the top of a warm TV set. Ignoring air resistance, calculate the position and velocity of the cat after (a) 0.100 s, (b) 0.200 s, and (c) 0.300 s.
A ball rolls off the edge of a table. Let the time the ball leaves the table surface be t = 0. If the table is horizontal, its velocity as a function of time is given by v = 1.101 - 9.80tĵ, with v in m/s and t in s. The ball's displacement from the edge of the table from t = 0 to t = 0.395 s (while it is in flight), is given by 0.395→ Ar = Jo Use this theorem to perform the integration: #F v dt. [[P + Qf(x)] dx = p[ dx + Q [ f(x) dx. Consider the units and unit vectors to be the constants P and Q. Integrate to determine the ball's displacement (in m) from the table edge at 0.395 s. (Express your answer in vector form. Do not include units in your answer.) Ar = .4345i + .7645j X Substitute the vector expression into the integral, and apply the theorem to separate the vector components into two integrals, which you can solve individually. Be sure to keep track of your signs. m Need Help? Read It
The position of a particle in space at time tis: r(t) = (sec(t)) * i + (tan t) * j + 4/3 tk. Write the particle's velocity at time t = (pi / 6) as the product of its speed and direction.
An ion's position vector is initially r==(5i-6j+2k)m, and 10 s later it is r=(-2i+8j-2k)m.In unit-vector notation ,what is its Vavg during the 10s?
A particle moves through 3-space in such a way that its acceleration is a(t)= 8sin 2ri +8cos 2tj+e'k . where t is time measured in seconds. The initial velocity of the particle is v, = 2i – 3j+k. At time t = t , find i) the velocity vector of the particle. ii) the scalar tangential and normal components of acceleration.
The eguation r(t)= (3t+ 9) i + (8t - 2) j+(4t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t= 0 as a product of its speed and direction. What is the velocity vector? v(t) = (D i+ (Di+ k
I need help on this problem: A cannon tilted upward at θ= 28 fires a cannonball with a speed of 93 m/s. At that instant, what is the component of the cannonball’s velocity parallel to the ground? Express your answer in meters per second.
A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 501 +48 k, with speed measured in feet per second. The spin of the ball results in a southward acceleration of 10 ft/s², so the acceleration vector is a = -101-32 k. Where does the ball land? (Round your answers to one decimal place.) x ft from the origin at an angle of from the eastern direction toward the south. With what speed does the ball hit the ground? (Round your answer to one decimal place.) X ft/s
A particle moving in the x-y plane has a velocity v = 7.80i + 2.97j m/s at a certain instant. If the particle then encounters a constant acceleration a = 0.88j m/s², determine the amount of time which must pass before the direction of the tangent to the trajectory of the particle has been altered by 33º. Answer: t = i S
An arrow is shot from a height of 1.7 m toward a cliff of height H. It is shot with a velocity of 32 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 3.81 s later. What is the height H of the cliff in m?
A ball is thrown at an angle of 45 degrees to the ground, and lands 70 meters away. The initial speed of the ball was m/sec.
At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of vo = i+ 5j – k. The acceleration function of the particle is a(t) = 32r²i + j+ (cos 21)k. Find the speed of the particle at time t = 1. Round your answer to two decimal places.