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What is the nature of the displacement time graphof a body moving with constant acceleration?
The equation which covers this is s = ut + at2/2 where s is distance (ie displacement), u is initial velocity, t is time and a is the acceleration. This is a parabola with an initial (t=0) slope equal to u.
The above equation comes from simple integration of the velocity versus time equation v=u+at, using an origin for distance s=0 at t=0.
What else can I help you with?
How does acceleration affect displacement?
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.
If an object is moving in a circle with a constant speed Its acceleration is constant in what?
If an object is moving in a circle with a constant speed, its acceleration is directed towards the center of the circle and is constant in magnitude. This acceleration is called centripetal acceleration and is required to keep the object moving in a circular path.
If the displacement of a body is proportional to square of time will the body be moving with uniform velocity or uniform acceleration?
Let us suppose that the displacement is given by, x = kt2 , where k is constant of proportionality. Therefore, velocity of the body, v = dx/dt = d(kt2)/dt = 2kt Since, velocity depends on time ,the body is not moving with uniform velocity.... Again, acceleration of the body, a = dv/dt = d(2kt)/dt = 2k As the acceleration is independent of time , the body is moving with uniform acceleration..
Can it be possible that a particle have constant speed must have zero acceleration?
It's possible, but not necessary, that a particle moving with constant speedhas zero acceleration. In order for acceleration to be zero, it's also necessarythat the particle be moving in a straight line.An object moving with constant speed around a curve has acceleration."Acceleration" does not mean "speeding up".
Is it possible when a body to have acceleration when moving constant speed?
Yes. "Acceleration" does not mean "speeding up". It means any change in speedor direction of motion. If the body is moving on a curve, even at a constant speed,its direction is changing, so there is acceleration.
How does acceleration affect displacement?
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.
If an object is moving in a circle with a constant speed Its acceleration is constant in what?
If an object is moving in a circle with a constant speed, its acceleration is directed towards the center of the circle and is constant in magnitude. This acceleration is called centripetal acceleration and is required to keep the object moving in a circular path.
If the displacement of a body is proportional to square of time will the body be moving with uniform velocity or uniform acceleration?
Let us suppose that the displacement is given by, x = kt2 , where k is constant of proportionality. Therefore, velocity of the body, v = dx/dt = d(kt2)/dt = 2kt Since, velocity depends on time ,the body is not moving with uniform velocity.... Again, acceleration of the body, a = dv/dt = d(2kt)/dt = 2k As the acceleration is independent of time , the body is moving with uniform acceleration..
If a body is moving with constant velocity is it moving with constant acceleration?
An object moves with constant velocity when there is no net force acting upon it. If there are no forces acting on an object, or if the forces acting on it "cancel out" leaving a net force of zero acting on the object, it will have zero acceleration. With a zero acceleration, the velocity of the object will be constant.
What would the acceleration of a turtle that is moving with a constant velocity of 0.25 miles per second to the right?
The acceleration would be zero because the turtle is moving at a constant speed
Can it be possible that a particle have constant speed must have zero acceleration?
It's possible, but not necessary, that a particle moving with constant speedhas zero acceleration. In order for acceleration to be zero, it's also necessarythat the particle be moving in a straight line.An object moving with constant speed around a curve has acceleration."Acceleration" does not mean "speeding up".
Is it possible when a body to have acceleration when moving constant speed?
Yes. "Acceleration" does not mean "speeding up". It means any change in speedor direction of motion. If the body is moving on a curve, even at a constant speed,its direction is changing, so there is acceleration.
What is difference between an object moving with uniform acceleration and an object moving with a constant velocity?
A motion with a constant speed will always be moving the same speed A motion with a constant acceleration will constantly be gaining speed, and does not remain moving at the same speed.
He constant acceleration of an object moving in a circle is called?
centripetal acceleration
Can an object be moving if acceleration is zero?
Yes. Acceleration is defined as a change of speed and/or direction of motion. If the speed and direction of motion are constant, then there is no acceleration.
What kind of speed has no acceleration?
A constant speed has no acceleration. When an object is moving at a constant speed, its velocity remains the same over time, and there is no change in acceleration.
Why is acceleration zero when the body is moving with a constant velocity?
Acceleration is the CHANGE in velocity; you're assuming CONSTANT velocity. So the acceleration is zero.
