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Position - time graph for motion with zero acceleration is

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Important Questions on Kinematics

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The velocity (v) and time (t) graph of a body in a straight line motion is shown in the figure. The point S is at 4.333 seconds. The total distance covered by the body in 6 s is :

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All the graphs below are intended to represent the same motion. One of them does it incorrectly. Select the incorrect option.
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The speed verses time graph for a particle is shown in the figure. The distance travelled (in m) by the particle during the time interval t=0 to t=5 s will be __________.

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The following figure shows the speed-time graph of a particle moving along a fixed direction. The distance travelled by the particle between time t=0 s to t=6 s is

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An object at rest at the origin begins to move in the +x direction with a uniform acceleration of 1 m s-2 for 4 s and then it continues moving with a uniform velocity pf 4 m s-1 in the same direction. The x-t graph for object's motion will be-
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A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d/2. Neglecting subsequent motion and air resistance, its velocity v varies with height h above the ground as
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The given graph shows the variation of velocity v with position x for a particle moving along a straight line

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Which of the following graph shows the variation of acceleration a with position x?

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A scooter accelerates from rest for time t1 at constant rate a1 and then retards at constant rate a2 for time t2 and comes to rest. The correct value of t1t2 will be :
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The one-dimensional motion of a point particle is shown in the figure. Select the correct statement.

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HARD
In the following displacement (x) vs time (t) graph at which among P, Q and R is the object's speed increasing?

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MEDIUM
A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d2 Neglecting subsequent motion and air resistance, its velocity v varies with the height h above the ground as
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A particle starts from the origin at time t=0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t=5 s?
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Acceleration-time graph of a body moving in a straight line is as shown in figure. The body started its motion from rest.

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At which point is the body moving with the largest speed?

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The velocity-time graph of a body moving in a straight line is shown in figure. Find the displacement and distance travelled by the body in 10 seconds.

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If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph?

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The velocity-displacement graph describing the motion of a bicycle is shown in the figure.

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The acceleration-displacement graph of the bicycle's motion is best described by :

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A car accelerates from rest at a constant rate α for some time after which it decelerates at a constant rate β to come to rest. If the total time elapsed is t seconds, the total distance travelled is:
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Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity?
HARD
The accompanying graph of position x versus time t represents the motion of a particle. If p and q are both positive constants, the expression that best describes the acceleration of the particle is

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MEDIUM

The velocity time graphs of a car and a scooter are shown in the figure. (i) The difference between the distance travelled by the car and the scooter in 15 s and (ii) the time at which the car will catch up with the scooter are, respectively.

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