Problem 2. A particle moves in the xy plane with a constant acceleration given by à = -4ĵ m/s². At t = 0, its position and velocity are 10î m and (-2î + 8j)m/s, respectively. What is the distance from the origin to the particle at t = 2.0 s? a) 6.4m b) 10m c) 8.9m d) 2.0m e) 6.2m %3D

Problem 2. A particle moves in the xy plane with a constant acceleration given by à = -4ĵ m/s². At t = 0, its position and velocity are 10î m and (-2î + 8j)m/s, respectively. What is the distance from the origin to the particle at t = 2.0 s? a) 6.4m b) 10m c) 8.9m d) 2.0m e) 6.2m %3D

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

Related questions

Q: particle leaves the origin with an initial velocity v = (5.84i) m/s and a constant acceleration = (–…

A: If a quantity has maximum value ,it's first differentiation must be zero and second differentiation…

Q: A particle moves along the x axis according to the equation x(t) = 4t+ 3t, where x is in meters and…

Q: Tectonic plates are large segments of the Earth's crust that move slowly. Suppose that one such…

Q: pumpkin is shot straight up with an initial speed of 5.9 m/s. What is the maximum height it can…

Q: A toy car starts at rest and accelerate up a 40" ramp with acceleration a=√(t^3). It then flies into…

Q: An object has position given by the vector r = [3.0m + (6.0m/s)t] i + [2.0m - (2.0m/s2)t2] j, where…

Q: A car rounds the clover-leaf at 13 "/s as it enters the 400 meter-long merge zone. a) What…

A: Answer:- + 0.990 m/s2 Given Initial velocity (u) = 13 m/s Final Velocity (V) = 31 m/s Distance…

Q: An ion's position vector is initially 7 = (-3,9 m )i + (-8.6 m )j + (-3.4 m )k, and 9.3 s later it…

Q: 2. A particle moves along the x-axis so that its velocity at any time t 2 0 is given by v(t) = 3t² –…

A: (a) Refer to the plot below : Distance travelled by the particle between t=1 to t=5 is the sum of…

Q: Direction: Solve the problem. X2- 5000 m X- Om t- Os ts- 5s ta- 10s X =? A x = R1) = t -t +2 a =? B…

A: (a) Average velocity of particle A and particle B in m/s in 10 s trip. (b) Displacement x of the…

Q: The position of an object as a function of time is given by x = br² - ct, where b= 2.0 m/s² and e –…

A: Given: The position of the object is x=bt2-ct. The value of b is b=2 m/s2. The value of c is c=6.7…

Q: B (3,3) C (7,3) E (5,0) A (0,0) D (7,-6) 十 Note: all coordinates in meters - not to scale! A robot…

A: 2.8 meters per minuteExplanation:We only need to look at the initial (A) and final (E) position to…

Q: A student in Physics 211 decides to do an experiment. They travel to a city and climb to the roof of…

Q: A kangaroo jumped over a fence, because the grass was literally greener on the other side. What was…

A: The kangaroo jumps under acceleration due to gravity(g) which is downward.

Q: That is the gravitational acceleration near the earth's surface. if you rise high above the earth,…

A: Write the formula for the gravitational acceleration.

Q: A particle moves in xy plane with a constant acceleration. At t = 0 the particle at = (4.0m)i +…

A: With uniform acceleration, there are three standard equations of motion as given below. v=u+at…

Q: An elevator starts from the ground floor and moves up with a constant speed of 4 m/s. If a bolt…

A: Given: u=4m/s, t=2s A) The distance traveled by the lift (and bolt) in 2s is : d=ut=8m As the bolt…

Q: Task 2: Average speed and average velocity A car travels a distance of 450 km in a straight line for…

A: Answer= Task 2: a) Average speed is defined as the total distance, d, covered divided by the time…

Q: The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a…

Q: I walk toward the origin at constant speed of 2 m/s from a distance 10 m. Which of the following…

Q: A particle moves along two dimensions based on the following position vector r= [2.0 m + (3.00 m/s)f…

Q: A particle moves in one dimension according to the equation: x(t)= 2.0m + (5.0m/s)t - (6.2m/s2)t2.…

Q: A block, initially at ₁ = (31 +ĵ) m moves to r2 = (61 + 5j) m in 5 seconds. What is the magnitude of…

A: Initial position vector is Final position vector is Time is Find:The magnitude of average velocity.

Q: A particle starts from the origin of a three-dimensional coordinate system and undergoes two…

A: Given data: Particle starts from the origin r1→= 2.0mi^ + 1.0mj^+ 3.0mk^ r2→=−1.0mi^ − 3.0mj^ −…

Q: We are standing on the top of a 1040 feet tall building and launch a small object upward. The…

A: Given data The height of the building is H = 1040 ft. The expression for the height of the object…

Q: An object's position is given by r(t) = [a + Bt] i + [v+ot²] where 3 • α = 4.66 m • B = 1.26 m/s 7…

Q: The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a…

A: Height, h = 1.33 m Time, t = 0.365 s Initial velocity, u = 0 Planet's g = ?

Q: At t=0, a particle starts with an initial velocity of 10 i m/s and accelerates uniformly at (-2.0 i…

A: Given initial speed (u)=10 m/s Acceleration (a)=(-2.0 i +4.0 j) m/s2 Required speed at t=5 s

Q: A ball is thrown vertically upward at t = 0, with an initial speed of vo = 10 m/s from a point O.…

Q: An object's velocity is ū = (1.0)t²î + 3.0m§. What is the object's acceleration at t=2.0s?

A: Given: An object with velocity V=(1.0ms3)t2i^+3.0msj^ Acceleration a=dvdt…

Q: A n C D 02 4 6 position x(m) B 8 10 12 Part (a) What is the distance traveled, in meters, for path…

A: Displacement: The displacement of an object is the difference between its final position and initial…

Q: An object has an initial velocity 2.4i + 4.5j m/s. Over a period of time becames vz = 2.4i + 3j m/s.…

Q: The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a…

Q: A cart is propelled over an its greatest y coordinate? xy plane with acceleration components a, =…

Q: A particle is moved over an XY plane with acceleration components ax = 1.0 m/s2 and ay = -2.0 m/s2.…

Q: The acceleration of an object (in m/s2) is given by the function a(t)=8sin(t)a(t)=8sin(t). The…

A: a(t)=8sin(t)a(t)=8sin(t) v(0)=−10v(0)=-10 m/s

Q: An object located at ?⃗0 = (1, 1) ? is displaced by Δ?⃗01 = −2?̂ − 5?̂ ? The object is then…

A: Initially as given An object is located at (1,1) which is displaced by (-2,-5) then it is situated…

Q: A particle’s velocity along the x-axis is described by v(x) = A x + B x2, where x is in meters, v is…

Q: 1) A race car travels around a circular race track for which the start line and finish line are at…

A: Total distance that should be covered during race is Radius of circular track is Time is…

Q: 3) A particle is moving along the surface of a vertical cylinder. The motion is described by the…

A: Since r is a constant here it means the particle is periodically moving in z-direction along the…

Question

Problem 2. A particle moves in the xy plane with a constant acceleration
given by à
(-2î + 8j)m/s, respectively. What is the distance from the origin to the
particle at t = 2.0 s?
a) 6.4m
b) 10m
c) 8.9m
d) 2.0m
e) 6.2m
-4ĵ m/s². At t = 0, its position and velocity are 10î m and

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The equation for the position of a particle for time (t>0) is given below. 7= (3.0tî – 1.0t°)m What is the particle's acceleration when t=7.0 s? O (3.07 – 12.0) m.s-2 O (- 42.0) m.s-2 O (-9.0) m.s? O (3.07 - 6.0) m.s2 O (- 30.07) m.s-2
15. A runner runs one lap on a 400 m oval in 50 s (i.e. he returns to his starting point in 50 s). What is the magnitude of his average velocity for this 50 s interval? 4.0 m/s 6.0 m/s 8.0 m/s 0.80 m/s zero 14. The magnitudes of two vectors A and B are 13 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A +B ? largest units smallest units
What is the total distance covered by the puppy? Position vs. time of a puppy D A -6 -8 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Time (s) a 4 m b 10 m 16 m 28 m 8. 4, Position (m)
The position of an object moving along the x -axis is given by x = 5.0m 4.0 t m + 2.0 t² m. How many times does this object pass through the point x=0? A. twice, first moving in the positive x-direction, then moving in the negative x-direction B. twice, first moving in the negative x-direction, then moving in the positive x-direction C. only once, moving in the positive x-direction D. only once, moving in the negative x-direction E. never
A particle leaves the origin at t =0s with an initial velocity v_0 = 3.6 m/s<i>. It experiences an accelerationa = -1.2m/s <i> - 1.4m/s <j>.a) In what time does the particle reach its maximum I coordinate?b) What is the speed of the particle at that moment?c) Where is the particle at that moment?
Susan lives 1.85 km [E] from the school and her good friend, Mary, lives 1.14 km [W] from the school If it took Susan 35 minutes and 20 seconds to travel from her house to Mary's house, what would be Susan's average velocity, in m/s? 1.4 m/s [E] 1.41 x 103 m/s [W] 1.4 m/s [W] 0.335 m/s [E]
We are standing on the top of a 720 feet tall building and launch a small object upward. The object's height, measured in feet, after t seconds is h(t) = - 16t2 +64t+ 720. = A) What is the object initial velocity? B) What is the highest point that the object reaches? ft/second feet
v(t) = 4t3 + 10t m/s. The initial position is r = 3 m. 3. A one dimensional problem. Assume v = Determine the position and acceleration at time t = 3sec.
Question: The velocity of a particle moving in the xy plane is defined byů = (6.0t – 4.0t²)î + 8.05(÷) when the acceleration is zero. A) 0.75s B) 1.75s C) 2.75s D) 3.75s E) 4.75s
In SI units, an object's position is given by [4t, 3t, 5] . What the object's velocity at t=0? An object's position is given by [4t, 3t, 5]. What the object's speed at t=0? An object's velocity is given by [2, 3, 5] m/s. What the object's acceleration at t=0?
7) An object has an initial velocity v, = 4î +5ĵ m/s. After 10 seconds of motion, its velocity %3D was found to be v, =-6i +15j. The average acceleration is: %3D
A particle leaves the origin with an initial velocity v = 3.74i , in m/s. It experiences a constant acceleration a = -1.00i -0.50j , in m/s2. What is the velocity of the particle when it reaches its maximum x coordinate? i-component of velocity? j-component of velocity? When does it reach its maximum x coordinate? Where is the particle at this time? i-component of position? j-component of position?