State which of the following situations are possible and give an example for each of
these:
(a) an object with a constant acceleration but with zero velocity an object moving in a certain direction with an acceleration in the perpendicular
direction.
Answers
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(a)
Let say a stone is thrown in vertical direction with initial speed u. As the time passes its velocity decreases and at the maximum height it attained, its velocity is zero but it has an acceleration (9.8)m/s2 in the downward direction due to gravity.
(b)
When a pebble is tied with an end of string and it is whirled in horizontal circular motion with the other end of the string at the centre of circular path, then it has a constant magnitude of centripetal acceleration towards the centre. Hence the acceleration is in perpendicular direction to the motion of pebble.
Answer:
(a) The given statement is possible.
The word acceleration implies a change in the object’s velocity. One example of this is vertical particle projection. When an object is thrown upwards, the maximum height velocity of the body is zero, but constant acceleration due to gravity is still working.
(b) The given statement is possible.
The object can move in a certain path with a perpendicular acceleration, in the case of circular motion. When an object is moving along a circular motion its path is along the circle tangent but the centripetal acceleration is towards the circle radius. We understand that with the radius, a tangent still makes a right angle. So when the object in the circular motion, the velocity and accelerations are in a mutually perpendicular direction.
Explanation:
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