The acceleration of a particle is given by a = (6t-3) m/s², where t is in seconds. Assume the particle moves in a horizontal direction only. It starts at rest when it is located at 2 m to the right of the origin at t=0 s. Answer the following questions. a. Is acceleration constant over time? Justify your response by explaining why this is relevant to your analysis. Yes Reasoning: No b. What is the velocity of the particle as a function of time? Show your work.

Q: The velocity V of a particle moving in the xy plane is given by V = (5.5t - 4.2t2) i + 8.7 j, with V…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Applying principles of dynamics, with step by step solutions pls (i give 5 stars) A freighter is…

A: Given data: Vi=8 nautical miles per hourVf=3 knotst=10 min=16 hrsa=-kV2 Need to determine the…

Q: Each of four particles move along the x-axis. Their positions (in meters) as functions of time (in…

A: Introduction In this problem we will calculate the velocity and acceleration of the particle and we…

Q: A particle moves in a circular path of radius 0.10 m with a constant rotational speed of 5.0 rev/s.…

A: The acceleration of the particle is the product of the square of angular speed and radius of…

Q: The velocity of a particle is given by v= 39t2-93t+47, where v is in meters per second and t is in…

A: Drawing the velocity and acceleration versus time for the first 3 seconds of motion and calculating…

Q: 4. A girl tosses a ball at an initial velocity of A = 8 ft/s at an angle of 0 = 25°. A boy catches…

A: For solution refer below images.

Q: (a) Find the cat's initial velocity, initial position, and initial acceleration. (b) At what time is…

A:

Q: A particle starts from rest at x = -2.0 m and moves along the x-axis with the velocity history…

A:

Q: The velocity of a particle traveling in a straight line is given by v = (6t – 3t2) m/s, where t is…

A:

Q: rectililinear motion: a particle with an initial velocity Vo = 6 m/s  going to the right and initial…

A:

Q: The position of a particle is given by s = 0.23t³ -0.77t² -2.50t + 5.65, where s is in feet and the…

A:

Q: Question 2: The acceleration function of an object doing curvilinear motion is a =…

A:

Q: A particle starts from the origin at t = 0s with a velocity of 10.0 m/s and moves in the x-y plane…

A: Given, Initial velocity = u → = 10 j  m/s Acceleration  = a → = ( 8 i + 2 j ) m/s2

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.