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Question (11)

QN0034790

The displacement of a particle at the instant when its velocity is is given by . Its acceleration and initial velocity are

(A)
1.5 units, 4 units
(B)
3 units, 4 units
(C)
16 units, 1.6 units
(D)
16 units, 3 units

Correct Answer: A

Explanation:

Comparing with , we get, units, or units

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Question (12)

QN0034791

A particle experiences constant acceleration for 20 seconds after starting from rest. If it travels a distance in the first 10 seconds and distance in the next 10 seconds, then

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

Correct Answer: C

Explanation:

Let a be constant acceleration of the particle. Then or

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Question (13)

QN0034792

The distance travelled by a particle starting from rest and moving with an acceleration , in the third second is:

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

Correct Answer: C

Explanation:

Distance travelled in the th second is given by

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Question (14)

QN0034793

If a car at rest accelerates uniformly to a speed of in , it covers a distance of

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

Correct Answer: C

Explanation:

Initial velocity of

Final velocity of

Time taken

We know that,

Also,

.

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Question (15)

QN0034794

A car accelerates from rest at a constant rate for some time, after which it decelerates at a constant rate and comes to rest. If the total time elapsed is , then the maximum velocity acquired by the car is

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

Correct Answer: D

Explanation:

In fig.,

But

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Question (16)

QN0034795

A bullet is shot vertically downwards with an initial velocity of from a certain height. Within , the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collision. The velocitytime curve for total time will be: (Take )

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

Correct Answer: A

Explanation:

at downwards

for 0 to 10 sec

As is straight line equation between and . So the curve will be straight line with -100 as intercept

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Question (17)

QN0034796

A bike accelerates from rest at a constant rate for some time after which it decelerates at a constant rate to come to rest. If the total time elapsed is 8 second, the maximum velocity acquired by the bike is given by

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

Correct Answer: D

Explanation:

for 10 to , so option (a) is correct.

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Question (18)

QN0034797

A metro train starts from rest and in achieves . After that it moves with constant velocity and comes to rest after travelling with uniform retardation. If total distance travelled is , find total time of travelling.

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

Correct Answer: D

Explanation:

Given : By eq of motion at

or

Distance travelled in first is .

Distance travelled with uniform speed of is

Time taken to travel

For retarding motion, we have

, we get

On solving we get,

Total time taken .

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Question (19)

QN0034798

A car, starting from rest, accelerates at the rate through a distance , then continues at constant speed for time and then decelerates at the rate to come to rest. If the total distance traversed is , then

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

Correct Answer: D

Explanation:

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Question (20)

QN0034799

A particle starting with certain initial velocity and uniform acceleration covers a distance of in first 3 seconds and a distance of .in next 3 seconds. The initial velocity of the particle is

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

Correct Answer: D

Explanation:

Let be the initial velocity that have to find and be the uniform acceleration of the particle.

For , distance travelled and for distance travelled From,

or

Similarly,

or

On solving, we get .

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Question (11)

The displacement of a particle at the instant when its velocity is is given by . Its acceleration and initial velocity are

Explanation:

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Question (12)

A particle experiences constant acceleration for 20 seconds after starting from rest. If it travels a distance in the first 10 seconds and distance in the next 10 seconds, then

Explanation:

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Question (13)

The distance travelled by a particle starting from rest and moving with an acceleration , in the third second is:

Explanation:

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Question (14)

If a car at rest accelerates uniformly to a speed of in , it covers a distance of

Explanation:

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Question (15)

A car accelerates from rest at a constant rate for some time, after which it decelerates at a constant rate and comes to rest. If the total time elapsed is , then the maximum velocity acquired by the car is

Explanation:

Link:

Question (16)

A bullet is shot vertically downwards with an initial velocity of from a certain height. Within , the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collision. The velocitytime curve for total time will be: (Take )

Explanation:

Link:

Question (17)

A bike accelerates from rest at a constant rate for some time after which it decelerates at a constant rate to come to rest. If the total time elapsed is 8 second, the maximum velocity acquired by the bike is given by

Explanation:

Link:

Question (18)

A metro train starts from rest and in achieves . After that it moves with constant velocity and comes to rest after travelling with uniform retardation. If total distance travelled is , find total time of travelling.

Explanation:

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Question (19)

A car, starting from rest, accelerates at the rate through a distance , then continues at constant speed for time and then decelerates at the rate to come to rest. If the total distance traversed is , then

Explanation:

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Question (20)

A particle starting with certain initial velocity and uniform acceleration covers a distance of in first 3 seconds and a distance of .in next 3 seconds. The initial velocity of the particle is

Explanation:

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