MEDIUM
Earn 100

Explain constant positive acceleration with the help of a graph.

Important Questions on Motion in a Straight Line

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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MEDIUM
Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity?
EASY
The position vector of a particle changes with time according to the relation rt=15t2i^+4-20t2j^. What is the magnitude of the acceleration at t=1?
EASY

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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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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EASY

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?

EASY
All the graphs below are intended to represent the same motion. One of them does it incorrectly. Select the incorrect option.
EASY
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
EASY
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-
EASY
The one-dimensional motion of a point particle is shown in the figure. Select the correct statement.

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EASY

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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EASY
A body moves along a straight line with acceleration 3s-2 for 2 s and then with acceleration 4 s-2 for 3 s. What is his average acceleration?
MEDIUM

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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EASY
An aircraft is moving with uniform velocity 150 m s-1  in the space. If all forces acting on it are balanced, then it will
EASY
Consider the acceleration, velocity and displacement of a tennis ball as its falls to the ground and bounces back. Directions of which of these change in the process?
EASY

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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MEDIUM
The position of an object moving along X -axis is given as x=a+bt2, where a, b are constants and t is time in seconds. The object covers a distance of 16 m in 2 secs. If the average velocity of the object between t=3 sec and t=5 s is 28 m s-1, the values of a and b are:
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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EASY
A particle is moving along with X -axis such that its acceleration is proportional to the displacement from the equilibrium position and they are in the same direction. The displacement xt is given by (where ω>0 is a constant)
MEDIUM

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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