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Test: Motion in a Plane with Constant Acceleration (May 19) - JEE MCQ
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Test: Motion in a Plane with Constant Acceleration (May 19) - Question 1
A bird flies from (-3m, 4m, -3m) to (7m, -2m, -3m) in the xyz- coordinates. The bird's displacement vector is given by
Detailed Solution for Test: Motion in a Plane with Constant Acceleration (May 19) - Question 1
Test: Motion in a Plane with Constant Acceleration (May 19) - Question 2
If x = 5t + 3t2 andy = 4t are the x and y co-ordinates of a particle at any time t second where x and y are in metre, then the acceleration of the particle
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Test: Motion in a Plane with Constant Acceleration (May 19) - Question 3
The (x, y, z) coordinates of two points A and B are given respectively as (0, 4, -2) and (-2, 8, -4). The displacement vector from A to B is:
Detailed Solution for Test: Motion in a Plane with Constant Acceleration (May 19) - Question 3
Test: Motion in a Plane with Constant Acceleration (May 19) - Question 4
The position of a particle is given by 
where t is in seconds and the coefficients have the proper units for
to be in metres. The direction of velocity of the particle at t = 1 s is
Detailed Solution for Test: Motion in a Plane with Constant Acceleration (May 19) - Question 4
Let θ be angle which the direction of
makes with the
Test: Motion in a Plane with Constant Acceleration (May 19) - Question 5
The acceleration of the particle at t = 1 is
Detailed Solution for Test: Motion in a Plane with Constant Acceleration (May 19) - Question 5
Test: Motion in a Plane with Constant Acceleration (May 19) - Question 6
For any arbitrary motion in space, which of the following relations is true?
Detailed Solution for Test: Motion in a Plane with Constant Acceleration (May 19) - Question 6
Test: Motion in a Plane with Constant Acceleration (May 19) - Question 7
Four girls skating on circular ice ground of radius 200 m start from a point P on the edge of the ground and reach a point Q diametrically opposite to P following different paths as shown in figure. For which girl displacement is equal to the actual length of path?
Detailed Solution for Test: Motion in a Plane with Constant Acceleration (May 19) - Question 7
Test: Motion in a Plane with Constant Acceleration (May 19) - Question 8
A particle starts moving from point (2, 10, 1). Displacement for the particle is 
The final coordinates of the particle is
Detailed Solution for Test: Motion in a Plane with Constant Acceleration (May 19) - Question 8
Test: Motion in a Plane with Constant Acceleration (May 19) - Question 9
On an open ground, a motorist follows a track that turns to his left by an angle of 60° after every 500 m. Starting from a given turn, the displacement of the motorist at the third turn is
Detailed Solution for Test: Motion in a Plane with Constant Acceleration (May 19) - Question 9
Test: Motion in a Plane with Constant Acceleration (May 19) - Question 10
A person moves 30 m north, then 30 m east, then 30√2 m south-west. His displacement from the original position is:
Detailed Solution for Test: Motion in a Plane with Constant Acceleration (May 19) - Question 10
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