A particle leaves the origin with an initial velocity = (7.83î) m/s and a constant acceleration à = (-1.38î — 2.16ĵ) m/s². When the particle reaches its maximum x coordinate, what are (a) its velocity, (b) its position vector? (a) Number i (b) Number i Ĵ Units î+ Mi Ĵ Units

A particle leaves the origin with an initial velocity = (7.83î) m/s and a constant acceleration à = (-1.38î — 2.16ĵ) m/s². When the particle reaches its maximum x coordinate, what are (a) its velocity, (b) its position vector? (a) Number i (b) Number i Ĵ Units î+ Mi Ĵ Units

Name: A particle leaves the origin with an initial velocity ✓ = (7.83î) m/s
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: A particle leaves the origin with an initial velocity ✓ = (7.83î) m/s and a constant acceleration à = ( − 1.38î – 2.16ĵ) m/s²When the particle reaches its maximum x coordinate, what are (a) its velocity, (b) its position vector?(a) Number i(b) Numbe

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

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...

See similar textbooks

Similar questions

The position r→ of a particle moving in an xy plane is given by r→=(3.00t^3−7.00t)i^+(6.00−2.00t^4)j^ with r→ in meters and t in seconds. In unit-vector notation, calculate(a)r→, (b)v→, and (c)a→ for t = 2.00 s. (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 2.00 s? Give your answer in the range of (-180o; 180o).
A cart is propelled over an xy plane with acceleration components ax = 4.0 m/s2 and ay=-2.0 m/s2. Its initial velocity has components v0x = 8.0 m/s and v0y = 12 m/s. In unit-vector notation, what is the velocity of the cart when it reaches its greatest y coordinate?
Suppose that a particle begins its motion from the origin and meets the velocity (in m / s) given by: vx (t) = 2.50t vy (t) = 3.50√t. for t> 0 in seconds. Find the speed of the particle at t = 5.00 s What is the acceleration vector (in rectangular components) at t = 2.00 s ? Find the magnitude of the displacement between t = 0.00 s and t = 6.00 s
The positionr→of a particle moving in an xy plane is given byr→=(5.00t3−6.00t)i^+(2.00−2.00t4)j^withr→in meters and t in seconds. In unit-vector notation, calculate(a)r→, (b)v→, and (c)a→for t = 2.00 s. (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 2.00 s? Give your answer in the range of (-180o; 180o).
for vector A=1.00i-2.00j and b=3.00i+4.00 jwhat are the magnitude and direction of vector c= A +B
The acceleration of a particle moving only on a horizontal xy plane is given by a→=4ti^+5tj^, where a→ is in meters per second-squared and t is in seconds. At t = 0, the position vector r→=(28.0m)i^+(48.0m)j^ locates the paticle, which then has the velocity vector v→=(6.70m/s)i^+(2.30m/s)j^. At t = 4.60 s, what are (a) its position vector in unit-vector notation and (b) the angle between its direction of travel and the positive direction of the x axis?
Given vector E = 2i+3j, a unit vector in the direction of E is
A particle initially located at the origin has an acceleration of = 1.00ĵ m/s2 and an initial velocity of i = 9.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). (b) Find the velocity of the particle at any time t. (c) Find the coordinates of the particle at t = 3.00 s. (d) Find the speed of the particle at t = 3.00 s.
From the origin, a particle starts at t = 0 s with a velocity vecv=7.0hatim//s and moves in the xy plane with a constant acceleration of veca=(-9.0hati+3.0hatj)m//s^(2). At the time the particle reaches the maximum x coordinate, what is its (a) velocity and (b) position vector?
The position of a particle moving in an xy plane is given by = (1.00t3 − 3.00t) + (7.00 − 8.00t4) , with in meters and t in seconds. In unit-vector notation, calculate the following for t = 2.70 s.
A particle leaves the origin with initial velocity v⃗ o=12i^+12j^m/s , undergoing constant acceleration a⃗ =−1.0i^+0.28j^m/s2 . When does the particle cross the y�-axis?
In a computer game, an airplane starts at (1, 6) (in cm) on the curve y=5+(1.6t+1)^−1.3and moves with a constant horizontal velocity of vx=1.6cm/s. What is the plane's velocity at t= 5 s? A)magnitude = 1.69, direction = 164.6 B)None of the above C)magnitude = 1.60, direction = 90.5 D)magnitude = 1.60, direction = 161.4