can a body have zero velocity and still be accelerating? explain with an example.
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skrajput:
yes it happens in electrostatic
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(a) Yes, an object can have zero velocity and still be accelerating simultaneously.
Consider an object moving in the forward direction. Suddenly a force acts on it and tries to accelerate the object in the backward direction. When you observe the object, you will find that the object will continue to move forward for some time and then stops momentarily. Then the object will start to move in the backward direction.
When the object stops for a moment, its velocity at that instant is zero, therefore no motion in either forward or backward direction. However the acceleration is still acting on it. At that instant, the magnitude of velocity in the backward direction is equal to the velocity in the forward direction, but as the acceleration continues to act on it, the velocity in the backward direction increases in magnitude over time, and the object finally starts moving in the backward direction.
One can also see this mathematically. For example consider that the velocity of any object at any time t is given as:
v (t) = t -2.
The acceleration of the object is:
a (t) = 1
However at 1 = 2 the velocity v(t) of the object is zero but the acceleration is still constant i.e. 1.
(b) Yes, an object can have a constant velocity and still have a varying speed.
For example, consider that a car moves from point A to point B by traversing a distance of 30 km in 1 hour. However the magnitude of displacement vector between the two points is 10 km.
The car then travels to point C by traversing a distance of 20 km in 1 hour. The magnitude of displacement vector between points B and C is the same i.e.10 km.
Therefore the magnitude of velocity of the car when it moves from point A to point B and from point B to C is
Consider an object moving in the forward direction. Suddenly a force acts on it and tries to accelerate the object in the backward direction. When you observe the object, you will find that the object will continue to move forward for some time and then stops momentarily. Then the object will start to move in the backward direction.
When the object stops for a moment, its velocity at that instant is zero, therefore no motion in either forward or backward direction. However the acceleration is still acting on it. At that instant, the magnitude of velocity in the backward direction is equal to the velocity in the forward direction, but as the acceleration continues to act on it, the velocity in the backward direction increases in magnitude over time, and the object finally starts moving in the backward direction.
One can also see this mathematically. For example consider that the velocity of any object at any time t is given as:
v (t) = t -2.
The acceleration of the object is:
a (t) = 1
However at 1 = 2 the velocity v(t) of the object is zero but the acceleration is still constant i.e. 1.
(b) Yes, an object can have a constant velocity and still have a varying speed.
For example, consider that a car moves from point A to point B by traversing a distance of 30 km in 1 hour. However the magnitude of displacement vector between the two points is 10 km.
The car then travels to point C by traversing a distance of 20 km in 1 hour. The magnitude of displacement vector between points B and C is the same i.e.10 km.
Therefore the magnitude of velocity of the car when it moves from point A to point B and from point B to C is
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