EASY
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Which of the following is one dimensional motion:

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Important Questions on Kinematics

MEDIUM

In the cube of side a shown in the figure, the vector from the central point of the face ABOD to the central point of the face BEFO will be:
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EASY
A body moves along the sides of an equilateral triangle of side 20 cm and comes back to the intial point after one round. Then the distance and displacement of the body respectively are
EASY
An athlete completes one round of a circular track of radius R in 40 s. What will be his displacement at the end of 2 minutes 20 seconds?
EASY
Relation between displacement and distance covered by a moving object will be :
EASY
The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by :
EASY
A boy walks 5 m towards east and then turns at an angle of 60° to the north of the east and walks 5 m. The net displacement of the boy is
MEDIUM

When a particle moves with variable velocity, which of the following statement are NOT correct ?
(i) Average speed = average velocity
(ii) Instantaneous speed = instantaneous velocity
(iii) Distance covered = magnitude of displacement

HARD
A piece of wood of mass 0.03 kg is dropped from the top of a 100 m height building. At the same time, a bullet of mass 0.02 kg is fired vertically upward, with a velocity 100 m s-1, from the ground. The bullet gets embedded in the wood. Then the maximum height to which the combined system reaches above the top of the building before falling below is: g=10 m s-2
MEDIUM
A bat emits an ultrasonic sound wave at 33.0 kHz and receives an echo 0.1 s later. What is the distance of the bat from the object-producing echo ? (Speed of sound in air is 330 m/s )
EASY
An athlete runs exactly once around a circular track of length 500 m. The runner's displacement in the race is
EASY
Motion of a particle in x-y plane is described by a set of following equations x=4sinπ2-ωt m and y=4sinωt m. The path of the particle will be
EASY

A particle is moved in a semi-circular path of radius R. Then

MEDIUM
A particle moves so that its position vector is given by r=cosωtx^+sinωty^, where ω is a constant. Which of the following is true?
EASY
If the distance covered by a particle happens to be zero, then the displacement of the particle
EASY
If the velocity of a particle is υ=At+Bt2, where A and B are constants, then the distance travelled by it between 1s and 2s is:
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
In a car race on straight road, car A takes a time t less than car B at the finish and passes finishing point with a speed v more than that of car B. Both the cars start from rest and travel with constant acceleration a1 and a2  respectively. Then v is equal to:
MEDIUM
A small block slides down on a smooth inclined plane, starting from rest at time t=0. Let Sn be the distance travelled by the block in the interval t=n-1 to t=n. Then, the ratio snsn+1 is:
EASY
A particle covers half of the circle of radius r. Then the displacement and distance of the particle are respectively
MEDIUM

Two skaters, P and Q are skating towards each other. Skater, P throws a ball towards, Q every 5 s such that it always leaves her hand with speed 2 m s-1 with respect to the ground. Consider two cases: (I) P runs with speed 1 m s-1 towards Q, while Q remains stationary. (II) Q runs with speed 1 m s-1 towards P, while P remains stationary. Note That irrespective of speed of P, ball always leaves P s hand with speed 2 m s-1 with respect to the ground. Ignore gravity. Balls will be received by Q.