The position of a particle is r(t) = (9.0t²1 – 9.0ĵ + 4.0t³k) m.(a) What is the velocity of the particle at 0s and at 1.0 s (in m/s)? (Express your answers in vector form.)m/s✓(0 s)V(1.0 s)Vavg===(b) What is the average velocity between 0 s and 1.0 s (in m/s)? (Express your answer in vector form.)m/sm/s

Name: The position of a particle is r(t) = (9.0t²1 – 9.0ĵ + 4.0t³k) m.(a) W
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: The position of a particle is r(t) = (9.0t²1 – 9.0ĵ + 4.0t³k) m.(a) What is the velocity of the particle at 0s and at 1.0 s (in m/s)? (Express your answers in vector form.)m/s✓(0 s)V(1.0 s)Vavg===(b) What is the average velocity between 0 s and 1.0

Answered: Image /qna-images/answer/f5e5531a-f515-4bad-a775-a57d269bc880.jpg

Science

Physics

The position of a particle is r(t) = (9.0t²-9.01 +4.0t³k) m. (a) What is the velocity of the particle at 0 s and at 1.0 s (in m/s)? (Express your answers in vector form.) (0 s) = m/s ✓(1.0 s) = m/s (b) What is the average velocity between 0 s and 1.0 s (in m/s)? (Express your answer in vector form.) m/s avg

The position of a particle is r(t) = (9.0t²-9.01 +4.0t³k) m. (a) What is the velocity of the particle at 0 s and at 1.0 s (in m/s)? (Express your answers in vector form.) (0 s) = m/s ✓(1.0 s) = m/s (b) What is the average velocity between 0 s and 1.0 s (in m/s)? (Express your answer in vector form.) m/s avg

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter4: Forces In One Dimension

Section: Chapter Questions

Problem 2STP

See similar textbooks

Similar questions

The velocity of a particle moving in the x-y plane is given by (6.98i + 6.68j) m/s at time t = 7.60 s. Its average acceleration during the next 0.014 s is (4.1i + 5.4j) m/s2. Determine the velocity v of the particle at t = 7.614 s and the angle θ between the average-acceleration vector and the velocity vector at t = 7.614 s.Answers:v = ( _____ i + _____ j) m/sθ = _____ °
At time t = 16 s, the velocity of a particle moving in the x-y plane is v = 0.12i + 2.69j m/s. By time t = 16.15 s, its velocity has become -0.07i + 2.56j m/s. Determine the magnitude aav of its average acceleration during this interval and the angle θ made by the average acceleration with the positive x-axis. The angle θ is measured counterclockwise from the positive x-axis.
A particle starts from the origin at t=0 with a velocity of (16i+12j)m/s and moves in the xy plane with a constant acceleration of a= (3.0i+6.0j)m/s^2. What is the speed of the particle at t=2.0s
A person skateboarding with a constant speed of 1.30 m>s releases a ball from a height of 1.25 m above the ground.Given that x0 = 0 and y0 = h = 1.25 m, find x and y for (a) t = 0.250 s and (b) t = 0.500 s. (c) Find the velocity, speed,and direction of motion of the ball at t = 0.500 s.
For a water balloon launched from a 4949-meter overlook with an initial vertical velocity of 24.524.5 meters per second, the height hh in meters as a function of time tt in seconds is h=−4.9t2+24.5t+49h=−4.9t2+24.5t+49. When will the balloon land and burst?
A bullet in a gun is accelerated from the firing chamber to the end of the barrel at an average rate of 8.00×10^7 m/s^2 for 7.10×10^−5 s. What is its muzzle velocity (that is, its final velocity)?
Echoes return in 2.5 secs to a person standing in front of a cliff. How far away is the cliff? The speed of sound in air at sea level is 343 m/s when the temp is 200 degrees celsius For question 3 & 4: A student throws a ball vertically upward such that is travels 9.0 m to its maximum height. If the ball is caught at the initial height 2'4 secs after being thrown, What is the ball's average velocity?Find the average velocity. 7.5 m/s0 m/s3.75 m/s A drag racer starting from rest accelerates in a straight line at a constant rate of 5.5 m/s^2 for 6 secs. What is the racer' velocity at the end of the given time? Where would you place a 50 kg mass on a 75 kg 14 meters rod so that its center of mass os 1 meter to the left of the physical center of the rod?
In a sport feast, a soccer ball is kicked from ground level over level ground with an initial velocity that has a vertical component of 20 m/s and a horizontal component of 30 m/s. Using g = 10 m/s^2, what is the ranged of the soccer ball? A. 40 m. B. 60 m. C. 80 m. D. 120 m. E. 180 m.
An object is thrown with a horizontal velocity of 20 m/s from a cliff that is 125 m above level ground. If air resistance is negligible, the time that it takes the object to fall to the ground from the cliff is most nearly a 12 s b 3 s c 6 s d 25 s e 5 s
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 student at the top of a building of height h throws one ball upward with a speed of vi and then throws a second ball downward with the same initial speed vi. Just before it reaches the ground, is the final speed of the ball thrown upward (a) larger, (b) smaller, or (c) the same in magnitude, compared with the final speed of the ball thrown downward?
A pebble is dropped from rest from the top of a tall cliff and falls 4.9 m after 1.0 s has elapsed. How much farther does it drop in the next 2.0 s? (a) 9.8 m (b) 19.6 m (c) 39 m (d) 44 m (e) none of the above