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Assertion: In case of projectile motion,...

Assertion: In case of projectile motion, acceleration horizontal component of velocity and mechanical energy remains unchanged but speed. Vertical component of velocity, momentum K.E. and P.E. change.
Reason: In the presence of air resistance, the range and maximum height attained reduce, but time of flight increases.

A

both assertion `&` Reason are True `&` the Reason is a corrrect explanation of the Asserion.

B

If both Assertion `&` Reason are True but Reason is not correct explanation of the Assertion.

C

If Assertion is Trie but the Reason is False.

D

If both Assertion `&` Reason are false

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The correct Answer is:
B
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Projectile motion is a combination of two one-dimensional motion: one in horizontal and other in vertical direction. Motion in 2D means in a plane. Necessary condition for 2D motion is that the velocity vector is coplanar to the acceleration vector. In case of projectile motion, the angle between velocity and acceleration will be 0^@ltthetalt180^@ . During the projectile motion, the horizontal component of velocity ramains unchanged but the vertical component of velocity is time dependent. Now answer the following questions: A body is projected at angle of 30^@ and 60^@ with the same velocity. Their horizontal ranges are R_1 and R_2 and maximum heights are H_1 and H_2 , respectively, then A body is projected at angle of 30^@ and 60^@ with the same velocity. Their horizontal ranges are R_1 and R_2 and maximum heights are H_1 and H_2 , respectively, then

Projectile motion is a combination of two one-dimensional motion: one in horizontal and other in vertical direction. Motion in 2D means in a plane. Necessary condition for 2D motion is that the velocity vector is coplanar to the acceleration vector. In case of projectile motion, the angle between velocity and acceleration will be 0^@ lt theta lt 180^@ . During the projectile motion, the horizontal component of velocity ramains unchanged but the vertical component of velocity is time dependent. Now answer the following questions: An object is projected from origin in x-y plane in which velocity changes according to relation vecv = a hati + bx hatj . Path of particle is

Projectile motion is a combination of two one-dimensional motion: one in horizontal and other in vertical direction. Motion in 2D means in a plane. Necessary condition for 2D motion is that the velocity vector is coplanar to the acceleration vector. In case of projectile motion, the angle between velocity and acceleration will be 0^@ltthetalt180^@ . During the projectile motion, the horizontal component of velocity ramains unchanged but the vertical component of velocity is time dependent. Now answer the following questions: A particle is projected from the origin in the x-y plane. The acceleration of particle in negative y-direction is alpha . If equation of path of the particle is y = ax - bx^2 , then initial velocity of the particle is

A projectile fired from a gun has initial horizontal and vertical components of velocity equal to 30 m/s and 40 m/s, respectively. What is the acceleration of the projectile when it reaches its maximum height?

Given that u_(x) = horizontal component of initial velocity of a projectile, u_(y) = vertical component of initial velocity, R = horizontal range, T = time of flight and H = maximum height of projectile. Now match the following two columns.

A ball is projected on a very long floor. There may be two conditions (i) floor is smooth & (ii) the collision is elastic If both the considered then the path of ball is as follows. Now if collision is inelastic and surface is rough then the path is as follows. Successive range is decreasing . Roughness of surface decreases the horizontal component of ball during collision and inelastic nature of collision decreases the vertical component of velocity of ball. In first case both components remain unchanged in magnitude and in second case both the components of the velocity will change. Let us consider a third case here surface is rough but the collision of ball with floor is elastic. A ball is projected withe speed u at an angle 30^(@) with horizontal and it is known that after collision with the floor its speed becomes (u)/(sqrt(3)) . Then answer the following questions. The ratio of maximum height reached by ball in first loop and second loop ((H_(1))/(H_(2))) is :

A ball is projected on a very long floor. There may be two conditions (i) floor is smooth & (ii) the collision is elastic If both the considered then the path of ball is as follows. Now if collision is inelastic and surface is rough then the path is as follows. Successive range is decreasing . Roughness of surface decreases the horizontal component of ball during collision and inelastic nature of collision decreases the vertical component of velocity of ball. In first case both components remain unchanged in magnitude and in second case both the components of the velocity will change. Let us consider a third case here surface is rough but the collision of ball with floor is elastic. A ball is projected withe speed u at an angle 30^(@) with horizontal and it is known that after collision with the floor its speed becomes (u)/(sqrt(3)) . Then answer the following questions. The angle made by the resultant velocity vector of the ball with horizontal after first collision with floor is :

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Assertion: The maximum horizontal range of projectile is proportional to square of velocity. Reason: The maximum horizontal range of projectile is equal to maximum height attained by projectile.

A stone is projected at an angle of 30^(@) with the vertical. If the horizontal component of its velocity is 9.8m//s , calculate the maximum height attained by the stone and its horizontal range .

ALLEN-MOTION IN A PALNE-EXERCISE-3
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  2. Assertion: Rest of a body is a relative term. Reason: Motion of a bo...

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  3. Assertion: If a body moves on a straight line, magnitude of its displa...

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  4. Assertion: Separation between two bodies moving in the same direction ...

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  5. Assertion: To cross the river in minimum time swimmer should swimming ...

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  6. Assertion: A body moving with constant acceleration always travels equ...

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  7. Assertion: A body,whatever its motion, is always at rest in a frame of...

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  8. Assertion : A body droped from a given height and another body project...

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  9. Statement-I : A projectile is thrown with an initial velocity of (ahat...

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  10. Assertion: If the positon vector of a particle moving in space is give...

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  11. Assertion: In projectile motion, when horizontal range is n times the ...

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  12. Assertion: Path of projected ball becomes parabolic in gravitational f...

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  13. Assertion: In projectile motion, the acceleration is constant in both ...

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  14. Assertion: In projectile motion horizontal velocity remains same but v...

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  15. Assertion: In projectile motion, the vertical velocity of the particle...

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  16. Assertion: The path of one projectile as seen for another projectile i...

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  17. Assertion: In case of projectile motion, acceleration horizontal compo...

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  18. Assertion: In the projectile motion projected boyd behave just like a ...

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  19. Assertion: Projectile motion is uniformly accelerated motion. (Neglect...

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  20. Assertion: Horizontal range is same for angle of projection theta and...

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