Question
Asked Oct 18, 2019
139 views

At t=0 a particle leaves the origin with a velocity of 5 m/s in the positive y direction. It's acceleration is given by a=(3i-2j)m/s^2 .at the instant the particle reaches its maximum y coordinate how far is the particle from the origin?

check_circle

Expert Answer

Step 1

Given:

Initial velocity along positive y direction = 5 m/s

Acceleration = (2i-3j) m/s2

Step 2

Calculating the time taken by particle to reach its maximum y-coordinate:

help_outline

Image Transcriptionclose

(5 m/s)3 lty = (31- 2j) mys initial Acceleration, a m/s а, oy2m2 At maximum y-coordinate, motiou, we cau wnite, Hence uning t euatiou 5m/s C-2 mys) t 0 2.5 S

fullscreen
Step 3

Calculating the distance of particle from origin at the ...

help_outline

Image Transcriptionclose

Maximun y-coordi'nate, (252) (5m/) (t 5s)-2 ) (25.)" Tman 6.25m 5s, X-oordli'nate is At +Lat 2 ox (3 m) (2-5s) 9.37 m Hence position of ponticlk Prom origin, JxYmaJa25}m A = = 11.26 m

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Kinematics

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: A car with a mass of 1040 kg and a speed of v1 = 15.5 m/s approaches an intersection, as shown in th...

A: Apply conservation of momentum along the y-axis on the car-minivan system, and solve for final speed...

question_answer

Q: Explain the difference between linear speed and rotational speed. Include formula difference and how...

A: Linear speed is defined as the linear distance covered by the body per second. Linear speed is along...

question_answer

Q: Your CECS graduation tassel hangs from the rear view mirror of your graduation gift, a 1981 DeLorean...

A: Given:Speed of the car =16 m/sTilt in the tassel from the vertical = 22 degrees

question_answer

Q: Al lift to raise a crate to height of 10.0 m is used. [1hp= 746 W] How much hp is necessary to raise...

A: Given:Displacement of the crate = 10 mVelocity of the crate = 5 m/sLet, mass of the crate = m kg 

question_answer

Q: Calculate the work done on a 1500 kg elevator car by its cable to lift it 40.0 m at constant speed, ...

A: Given

question_answer

Q: A 0.600-kg particle has a speed of 2.00 m/s at point A and kinetic energy of 7.50 J at point B. What...

A: Click to see the answer

question_answer

Q: 12. Below is a harmonic depicted within a closed-open tube. The speed of sound in air is 340 m/s. 12...

A: 12aThe harmonic represented in the given figure is 5th harmonic.

question_answer

Q: 6. The wave below is traveling at 5 m/s. y(m) x(m) 2 6a. What are the wave y(x) and oscillator y(t) ...

A: 6a. The wave equation for y(x) is

question_answer

Q: A dart gun has a spring of spring constant k = 13 N/m which is used to shoot a dart of mass m. The d...

A: Initially, the dart is at rest, and finally, the spring is in original state. Therefore, initial kin...