MEDIUM
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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 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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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.
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:
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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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
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?
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
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
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

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?

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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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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