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Question (31)

QN0034930

A stone is thrown from a point with a speed at an elevation angle of . From the same point and at the same instant, a person starts running with a constant speed 2.5 to catch the stone. If the person will be able to catch the ball then, what should be the angle of projection ?

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

Time period,

Momentum

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Question (32)

QN0034931

Two balls are projected simultaneously in the same vertical plane from the same point with velocities and with angle and respectively with the horizontal. If , the path of one ball as seen from the position of other ball is :

(A)
parabola
(B)
horizontal straight line
(C)
vertical straight line
(D)
straight line making with the vertical

Correct Answer: C

Explanation:

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Question (33)

QN0034932

A bullet is fired with a speed of in order to hit a target away. If . The gun should be aimed

(A)
above the target
(B)
above the target
(C)
above the target
(D)
directly towards the target

Correct Answer: C

Explanation:

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Question (34)

QN0034933

A projectile is thrown in the upward direction making an angle of with the horizontal direction with a velocity of . Then the time after which its inclination with the horizontal is , is

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

The bullet performs a horizontal journey of with constant velocity of . The bullet also performs a vertical journey of with zero initial velocity and downward acceleration .

For horizontal journey, time

The bullet performs vertical journey for this time.

For vertical journey,

or,

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Question (35)

QN0034934

A particle is projected with a velocity such that its range on the horizontal plane is twice the greatest height attained by it. The range of the projectile is (where is acceleration due to gravity)

(A)
(B)
(C)
(D)

Correct Answer: A

Explanation:

We know,

From triangle we can say that

Range of projectile

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Question (31)

A stone is thrown from a point with a speed at an elevation angle of . From the same point and at the same instant, a person starts running with a constant speed 2.5 to catch the stone. If the person will be able to catch the ball then, what should be the angle of projection ?

Explanation:

Link:

Question (32)

Two balls are projected simultaneously in the same vertical plane from the same point with velocities and with angle and respectively with the horizontal. If , the path of one ball as seen from the position of other ball is :

Explanation:

Link:

Question (33)

A bullet is fired with a speed of in order to hit a target away. If . The gun should be aimed

Explanation:

Link:

Question (34)

A projectile is thrown in the upward direction making an angle of with the horizontal direction with a velocity of . Then the time after which its inclination with the horizontal is , is

Explanation:

Link:

Question (35)

A particle is projected with a velocity such that its range on the horizontal plane is twice the greatest height attained by it. The range of the projectile is (where is acceleration due to gravity)

Explanation:

Link:

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