EWT | Academic Question

Questions
Question (1)
QN0034900

A particle moves in a plane with a constant acceleration in a direction different from the initial velocity. The path of the particle is a/an

  • (A)

    straight line

  • (B)

    arc of a circle

  • (C)

    parabola

  • (D)

    ellipse

Correct Answer: C
Explanation:

Only in case of parabolic motion, the direction and magnitude of the velocity changes, acceleration remains same. Morever, in case of uniform circular motion, the direction changes.

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Question (2)
QN0034901

If  is the time taken by a projectile to achieve the maximum height, then the total time of flight  related to  as           

  • (A)

  • (B)

  • (C)

  • (D)

    None of these

Correct Answer: C
Explanation:

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Question (3)
QN0034902

If  is the initial velocity of a projectile and  is the velocity at any instant, then the maximum horizontal  range  is equal to

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

(time to reach the maximum height)

Total time of flight

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Question (4)
QN0034903

In the projectile motion, if air resistance is ignored, the horizontal motion is at

  • (A)

    constant acceleration

     

  • (B)

    variable acceleration

  • (C)

    constant velocity

  • (D)

    constant retardation

Correct Answer: B
Explanation:

Horizontal range

For maximum range

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Question (5)
QN0034904

The time of flight of a projectile on an upward inclined plane depends upon

  • (A)

    angle of inclination of the plane

  • (B)

    angle of projection

  • (C)

    the value of acceleration due to gravity

  • (D)

    all of the above.

Correct Answer: D
Explanation:

If air resistance is ignored, then there is no acceleration in horizontal direction in projectile motion. Hence the particle move with constant velocity in horizontal direction.

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Question (6)
QN0034905

A projectile is projected with velocity of  at an angle  with the horizontal. After  seconds its inclination with horizontal becomes zero. If  represents horizontal range of the projectile, the value of  will be : [use  ]   

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

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Question (7)
QN0034906

In a projectile motion, velocity at maximum height is

  • (A)

  • (B)

  • (C)

  • (D)

    None of these

Correct Answer: B
Explanation:

At maximum height inclination with horizontal becomes

So,

Now,

[From (i)]

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Question (8)
QN0034907

For angle ...X..., the projectile has maximum range and it is equal to ...X.... Here,  and  refer to .

  • (A)

    and 

  • (B)

    and 

  • (C)

    and 

  • (D)

    and 

Correct Answer: C
Explanation:

(b) Only horizontal component of velocity

(c) If the angle of projection is , then range

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Question (9)
QN0034908

At the top of the trajectory of a projectile, the acceleration is

  • (A)

    maximum

  • (B)

    minimum

  • (C)

    zero

  • (D)

    constant (g)

Correct Answer: D
Explanation:

At the highest point of trajectory, the acceleration is equal to .

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Question (10)
QN0034909

If  is velocity of a body projected from the point and  is the velocity of a body projected from point which is vertically below the highest point . if both the bodies collide, then

  • (A)

  • (B)

  • (C)

  • (D)

    Two bodies can't collide.

Correct Answer: B
Explanation:

Two bodies will collide at the highest point if both cover the same vertical height in the same time.

where  is the range.

Hence

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