What are the particles average velocity and average speed

Reference no: EM13975805

Dynamics-

1. A particle travels along a straight line with a velocity v = (12 - 3t²) m/s, where t is in seconds. When t = 1 s. the particle is located 10 m to the left of the origin. Determine the acceleration when t= 4 s, the displacement from t = 0 to t = 10 5, and the distance the particle travels during this time period.

2. The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s², where t is in seconds. If s = 1 m and v = 2 m/s when t = O. determine the particle's velocity and position when t = 6 s. Also, determine the total distance the particle travels during this time period.

3. The position of a particle along a straight-line path is defined by s = (t³ - 6t² - 15t + 7) ft, where t is in seconds. Determine the total distance traveled when t = 10 s. What are the particle's average velocity, average speed, and the instantaneous velocity and acceleration at this time?

4. A train starts from rest at station A and accelerates at 0.5 m/s² for 60 s. Afterwards it travels with a constant velocity for 15 min. It then decelerates at 1 ms² until it is brought to rest at station B. Determine the distance between the stations.

5. A particle is moving along a straight line such that its acceleration is defined as a = (-2v) m/s². where v is in meters per second. If v = 20 m/s when s = 0 and t = 0, determine the particle's position, velocity, and acceleration as functions of time.

6. Two particles A and B start from rest at the origin s = 0 and move along a straight line such that a_A = (6t - 3) ft/s² and a_B = (12t² - 8) ft s², where t is in seconds. Determine the distance between them when t = 4 s and the total distance each has traveled in t = 4 s.

Reference no: EM13975805

Questions Cloud

What is initial energy put into oscillator by displacing it : What is the initial energy put into the oscillator by displacing it? f. find the rate at which the energy is being lost due to damping as a function of time.

Write a research paper on different types of nuclear reactor : Write a two pages research paper on the major different types of nuclear reactors. Be sure to include ones inside and outside the United States.

Differences b/w inductive and deductive observations : What is a possible sociological/theoretical explanation for the trends you observed? This is best done by using sources to provide credibility to your analyses.

What challenges have law enforcement officials faced : What challenges have law enforcement officials faced in the light of technological advances throughout the global environment? Discuss a minimum of three problems that such changes have created. What are your recommendations for future action that..

What are the particles average velocity and average speed : Determine the total distance traveled when t = 10 s. What are the particle's average velocity, average speed, and the instantaneous velocity and acceleration at this time?

Summary of the ethical principles presented in the code : Locate the Website of the code of ethics for a helping profession. The Website (using APA reference list citation format) and A summary of the ethical principles presented in the code

What is the impulse on the ball : In the overhead view of the figure, a 425 g ball with a speed v of 8.0 m/s strikes a wall at an angle of 30 A hat degree and then rebounds with the same speed and angle. It is in contact with the wall for 12.5ms. What is the impulse on the ball (t..

Mentions that reducing maternal mortality : what people are arguing about. You will then be able to develop your own point of view.

How many arm raises must you do to work off these calories : Assume that the weight of your arm is small enough compared with the weight you are lifting that you can ignore it. As is typical, your muscles are 20{\rm \\%} in converting the food energy they use up into mechanical energy, with the rest going i..

User Account

All Pages