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No, the acceleration of a particle is determined by the second derivative of its position function with respect to time. If the position function is given by x(t) = 119909 + 119862t + 1199052t^2, then the acceleration a(t) would be the derivative of this function with respect to time twice, not just a constant 4C.
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Is it true that particle with a position that is given by 𝑥(𝑡) 𝐴𝑡 plus 𝐵 (A and B are properly dimensioned constants) is moving with a constant velocity?
No, a particle with position given by 𝑥(𝑡) = 𝐴𝑡 + 𝐵 is not moving with constant velocity, it is moving with a constant acceleration since its position is changing linearly with time. Velocity would be given by the derivative of 𝑥(𝑡) which would be a constant.
If the acceleration of a charged particle between plates in a plate capacitor is a at halfway between the plates why will the particle experience the same acceleration when its 1 quarter of the way?
The acceleration of a charged particle between plates in a plate capacitor is constant due to the uniform electric field between the plates. Since the field strength remains the same between the plates, the particle will experience the same acceleration regardless of its position if it is perpendicular to the field lines.
How can you tell that a motion is simple harmonic?
A motion is simple harmonic if the acceleration of the particle is proportional to the displacement of the particle from the mean position and the acceleration is always directed towards that mean position.
What would the graph look like on a position verse time plot with constant acceleration?
If the constant acceleration is positive, the graph would be an exponential (x2) graph. If there is constant acceleration, then velocity is always increasing, making the position change at an ever increasing rate.
What is the position versus time graph of a body undergoing constant acceleration?
The position versus time graph of a body undergoing constant acceleration is a curved line that slopes upwards or downwards, depending on the direction of acceleration. The curve is not a straight line because the velocity of the body is changing at a constant rate.
Is it true that particle with a position that is given by 𝑥(𝑡) 𝐴𝑡 plus 𝐵 (A and B are properly dimensioned constants) is moving with a constant velocity?
No, a particle with position given by 𝑥(𝑡) = 𝐴𝑡 + 𝐵 is not moving with constant velocity, it is moving with a constant acceleration since its position is changing linearly with time. Velocity would be given by the derivative of 𝑥(𝑡) which would be a constant.
What is an object that moves with constant position?
An object that moves with constant position will have constant velocity or acceleration. This is said to be moving in positive direction and maintains the position.
If the acceleration of a charged particle between plates in a plate capacitor is a at halfway between the plates why will the particle experience the same acceleration when its 1 quarter of the way?
The acceleration of a charged particle between plates in a plate capacitor is constant due to the uniform electric field between the plates. Since the field strength remains the same between the plates, the particle will experience the same acceleration regardless of its position if it is perpendicular to the field lines.
How can you tell that a motion is simple harmonic?
A motion is simple harmonic if the acceleration of the particle is proportional to the displacement of the particle from the mean position and the acceleration is always directed towards that mean position.
What would the graph look like on a position verse time plot with constant acceleration?
If the constant acceleration is positive, the graph would be an exponential (x2) graph. If there is constant acceleration, then velocity is always increasing, making the position change at an ever increasing rate.
What is the position versus time graph of a body undergoing constant acceleration?
The position versus time graph of a body undergoing constant acceleration is a curved line that slopes upwards or downwards, depending on the direction of acceleration. The curve is not a straight line because the velocity of the body is changing at a constant rate.
Vector method to find out the acceleration of a particle is -wwrwhere angular velocity is w?
To find the acceleration of a particle using the vector method, you can use the equation a = r x (w x v), where "a" is the acceleration, "r" is the position vector, "w" is the angular velocity vector, and "v" is the velocity vector. The cross product (x) represents the vector cross product. By taking the cross product of the angular velocity vector with the velocity vector and then multiplying the result by the position vector, you can find the acceleration of the particle.
Why is traveling in a circle at constant speed called acceleration?
Traveling in any direction, but moving is acceleration. if a particle moves in a circle and comes to the initial position, then the velocity would be zero. acceleration is a scalar quantity and not a vector quantity. answered by K.Sreram from India
How does acceleration affect position?
Acceleration affects position by changing the rate at which an object's velocity changes over time. When an object accelerates, its position changes at a non-constant rate. Greater acceleration leads to faster changes in position, while deceleration or negative acceleration causes a decrease in speed or a change in direction of movement.
If displacement of a particle is zero?
If displacement of a particle is zero in a uniform circular motion, then the distance travelled by that particle is not zero, kinetic energy is constant, speed is constant and work done is zero
A particle moves so that its position in m. as a function of time in sec is r equals i plus 4Tsqj plus tk. write expressions for a. its velocity and b. its acceleration as functions of time?
a. The velocity of the particle is the derivative of its position function with respect to time. In this case, the velocity would be v = 4t^2j + k. b. The acceleration of the particle is the derivative of its velocity function with respect to time. So, the acceleration would be a = 8tj.
What is the relationship between static acceleration and an object's position in a gravitational field?
The relationship between static acceleration and an object's position in a gravitational field is that the static acceleration of an object in a gravitational field is constant and does not change with the object's position. This means that the object will experience the same acceleration due to gravity regardless of where it is located within the gravitational field.
