MEDIUM
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The area under the velocity-time graph for a particle moving in a straight line with uniform acceleration gives:

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Important Questions on Motion in a Straight Line

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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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 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
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 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-
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

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?

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
Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity?
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
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 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

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

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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EASY
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 :
EASY

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

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EASY
All the graphs below are intended to represent the same motion. One of them does it incorrectly. Select the incorrect option.
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

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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