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If a body travels at a constant speed it will travel a certain distance (doesn't matter how far for our purposes). If it's accelerating then its speed is constantly increasing and therefore it covers more distance over every increment of time that it would if it were moving at its initial speed. So, acceleration increases displacement.
Acceleration affects displacement by changing the rate at which an object's velocity changes. When acceleration is constant, displacement increases over time according to the equation: displacement = initial velocity * time + 0.5 * acceleration * time^2. The higher the acceleration, the faster the object's displacement changes.
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How do you derive lateral displacement?
Lateral displacement can be derived using the formula: lateral displacement = initial velocity * time + 0.5 * acceleration * time^2. This formula takes into account the initial velocity, acceleration, and time taken for the object to undergo lateral displacement.
What are displacement velocity and acceleration and what are their relationships to each other in terms of motion?
Displacement is the change in position of an object, velocity is the rate at which an object changes its position, and acceleration is the rate at which an object's velocity changes. In terms of motion, acceleration is related to velocity by the derivative of velocity with respect to time, and velocity is related to displacement by the derivative of displacement with respect to time.
When is acceleration greatest in SHM?
Acceleration is greatest at the extremities of the motion in simple harmonic motion (SHM). This occurs when the displacement is maximum and the restoring force is also maximum, resulting in the highest acceleration.
When are the displacement velocity and acceleration equal to zero for the motion of a mass on a spring?
The displacement is zero at the equilibrium position, the velocity is zero at the maximum displacement points, and the acceleration is zero at the equilibrium position and maximum displacement points.
What are the equations of motion involving uniform acceleration?
The equations of motion involving uniform acceleration are: v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, t is the time taken. s = ut + (1/2)at^2, where s is the displacement. v^2 = u^2 + 2as, where s is the displacement. These equations describe the relationships between initial velocity, final velocity, acceleration, displacement, and time during motion with uniform acceleration.
What is the second derivative of displacement?
Acceleration
How do you find displacement when you only have acceleration initial velocity and final velocity?
You can use the equation: Displacement = (final velocity squared - initial velocity squared) / (2 * acceleration). Plug in the values of final velocity, initial velocity, and acceleration to calculate the displacement.
What is the formula for calculating displacement in which acceleration initial velocity and time are the variables?
If s = displacement, u = initial velocity, a = acceleration, t = time. Then s = ut + 1/2at2 Be careful to keep units consistent
Is 5 m east an acceleration?
no. this is a displacement
How do you derive lateral displacement?
Lateral displacement can be derived using the formula: lateral displacement = initial velocity * time + 0.5 * acceleration * time^2. This formula takes into account the initial velocity, acceleration, and time taken for the object to undergo lateral displacement.
What do displacement and acceleration have in common?
They are related to the motion of objects.
What are displacement velocity and acceleration and what are their relationships to each other in terms of motion?
Displacement is the change in position of an object, velocity is the rate at which an object changes its position, and acceleration is the rate at which an object's velocity changes. In terms of motion, acceleration is related to velocity by the derivative of velocity with respect to time, and velocity is related to displacement by the derivative of displacement with respect to time.
When is acceleration greatest in SHM?
Acceleration is greatest at the extremities of the motion in simple harmonic motion (SHM). This occurs when the displacement is maximum and the restoring force is also maximum, resulting in the highest acceleration.
When are the displacement velocity and acceleration equal to zero for the motion of a mass on a spring?
The displacement is zero at the equilibrium position, the velocity is zero at the maximum displacement points, and the acceleration is zero at the equilibrium position and maximum displacement points.
Which one of the following remains constant while throwing a ball upward-displacement or kinetic energy or acceleration or velocity?
displacement
Is displacement the change in velocity of an object?
Velocity is change in displacement over time.
How do you determine initial velocity when given time acceleration and displacement?
s = u + at s = displacement u = initial velocity a = acceleration t = time rearrange to give u = s - at and sub in values
