The instantaneous velocity of a particle moving in a straight line is given as , where and are constants. The distance travelled by the particle between and is:
Get Answer
We have given,
As particle is moving in a straight line,
Distance Displacement
Two buses P & Q start from a point at the same time and move in a straight line and their positions are represented by and . At what time, both the buses have same velocity?
For bus
Distance
As,
The fig given shows the timedisplacement curve of two particles and . Which of the following statement is correct?
Both and move with uniform equal speed
is accelerated is retarded
Both P and Q move with uniform speeds but the speed of is more than the speed of
Both and move with uniform speeds but the speed of is more than the speed of .
As graph is a straight line in either case, velocity of both is uniform. As the slope of graph for is greater, therefore, velocity of is greater than that of .
The distance travelled by a body is directly proportional to the time taken. Its speed
increases
decreases
becomes zero
remains constant
When , so constant
The slope of velocity-time graph for motion with uniform velocity is equal to
final velocity
initial velocity
zero
none of these
The velocity-time graph for a uniform motion is a straight. line parallel to time axis. Its slope is zero.
The ratio of the numerical values of the average velocity and average speed of a body is
unity
unity or less
unity or more
less than unity
because displacement will either be equal or less than distance. It can never be greater than distance travelled.
The slope of the tangent drawn on position-time graph at any instant is equal to the instantaneous
acceleration
force
velocity
momentum
The slope of the tangent drawn on position-time graph at any instant gives instantaneous velocity.
The displacement-time graphs of two particles A and B are straight lines making angles of and respectively with the time axis. If the velocity of is and that of is , the value of is
Choose the wrong statement from the following.
The motion of an object along a straight line is a rectilinear motion.
The speed in general is less than the magnitude of the velocity.
The slope of the displacement-time graph gives the velocity of the body.
The area under the velocity-time graph gives the displacement of the body.
The speed in general the magnitude of velocity.
Which of following graph cannot possibly represent 1D motion of a particle?
All of these
In (a), at the same time particle has two positions which is not possible. In (b), particle has two velocities at the same time. In (c), speed is negative which is not possible.
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