  Previous Year Questions

## Motion In A Straight Line

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JEE Mains
The distance x covered by a particle in one dimensional motion varies with time t as . If the acceleration of the particle depends on x as , where n is an integer, the value of n is:
A particle moves such that its position vector where is a constant and is time. Then which of the following statements is true for the velocity and acceleration of the particle:
A
is perpendicular to and is directed away from the origin
B
and both are parallel to
C
and both are perpendicular to
D
is perpendicular to and is directed towards the origin
A particle is moving along the x-axis with its coordinate with time '' given by . Another particle is moving along the y-axis with its coordinate as a function of time given by . At , the speed of the second particle as measured in the frame of the first particle is given as . Then (in  m/s) is ________.
A particle is moving with speed along positive x-axis. Calculate the speed of the particle at time (assume that the particle is at origin at )
A
B
C
D
The position of a particle as a function of time t, is given by where a, b and c are constants. When the particle attains zero acceleration, then its velocity will be?
A
B
C
D
All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.
A
B
C
D
A car is standing behind a bus, which is also at rest. The two start moving at the same instant but with different forward accelerations. The bus has acceleration and the car has acceleration . The car will catch up with the bus after a time of :
A
B
C
D
Two stones are thrown up simultaneously from the edge of a cliff  high with initial speed  and  respectively.  Which of the following graph best represents the time variation of relative position of the second stone with respect to the first ?
(Assume stones do not rebound after hitting the ground and neglect air resistance, take )
(The figures are schematic and not drawn to scale.)
A
B
C
D
A person climbs up a stopped escalator in . If standing on the same escalator but escalator running with constant velocity, he takes 40 s. How much time is taken by the person to walk up in the moving escalator?
A
B
C
D
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