Among the four graph shown in the figure there is only one graph for which average velocity over the time interval can vanish for a suitably chosen . Which one is it?
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If we draw a line parallel to time axis from the point on graph at . This line can intersect graph at .
In graph (b) for one value of displacement there are two different points of time. so, for one time, the average velocity is positive and for other time is equivalent negative.As there are opposite velocities in the inteval 0 to hence average velocity can vanish in
Thiscan be seen in the figure given below.
A lift is coming from 8th floor and is just about to reach 4th floor. Taking ground floor as origin and positive direction upwards for all quantities, which one of the following is correct?
As the lift is moving downward directions so displacement is negative (zero). We have to see whether the motion is accelerating or retarding.
Due to downward motion displacement is negative the lift reaches 4 th floor is about to stop hence, motion is retarding downward in nature hence, .
As displacement is in negative direction, velocity will also be negative i.e., but net acceleration is +ve , that can be shown in the graph.
In one dimensional motion, instantaneous speed satisfies
The displacement in time must always take nonnegative values
The displacement in time satisfies
The acceleration is always a non-negative number
The motion has no turning points
In one dimensional motion, for the maximum and minimum displacement we must have the magnitude and direction of maximum velocity.
As maximum velocity in positive direction is , hence maximum velocity in opposite direction is also .
Maximum displacement in one direction
Maximum displacement in opposite directions .
Hence,
A vehicle travels half the distance with speed and the other half with speed , then its average speed is
The displacement of a particle is given by where is in metre and in second. The distance covered by the particle in first 4 seconds is
As given that,
velocity
at
graph is shown in diagram.
Distance travelled area between time axis of the graph area
If displacement occurs
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