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### A particle of unit mass undergoes one-dimensional motion such that its velocity varies

A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x) = bx⁻²ⁿ, where b and n are constants and x is the position of the particle. The acceleration of […]

### The distance travelled by a particle starting from rest and moving

The distance travelled by a particle starting from rest and moving with an acceleration 4/3 ms⁻², in the third second is

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(a) 10/3 m (b) 19/3 m (c) 6 m (d) 4 m

### An aeroplane is flying horizontally with a velocity of 216 km/h at a height of 1960 m.

An aeroplane is flying horizontally with a velocity of 216 km/h at a height of 1960 m. When it is vertically above a point A on the ground, a bomb is released from it. The […]

### 3 persons are initially at the 3 corners of an equilateral triangle

3 persons are initially at the 3 corners of an equilateral triangle whose side is equal to d. Each person now moves with a uniform speed v in such a way that the first moves […]

### The distance travelled by an object along a straight line in time t is given by

The distance travelled by an object along a straight line in time t is given by s=3-4t+5t², the initial velocity of the object is

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(a) 3 unit (b) -3 unit (c) 4 […]

### A bullet emerges from a barrel of length 1.2 m with a speed of 640 ms⁻¹.

A bullet emerges from a barrel of length 1.2 m with a speed of 640 ms⁻¹. Assuming constant acceleration, the approximate time that it spends in the barrel after the gun is fired is

### A body covers 200 cm in the first 2 seconds and 220 cm in the next 4 seconds.

A body covers 200 cm in the first 2 seconds and 220 cm in the next 4 seconds. The velocity of the body at the end of the 7th second is

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(a) 10 […]

### A body starts from rest with an acceleration of 2 m/s². After 5 second,

A body starts from rest with an acceleration of 2 m/s². After 5 second, the direction of acceleration reverses again for 5 second. The displacement is

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(a) 5 m (b) 50 m […]

### Three particles A,B and C are thrown from the top of a tower with the same speed.

Three particles A,B and C are thrown from the top of a tower with the same speed. A is thrown straight up, B is thrown straight down and C is thrown horizontally. They hit the […]

### The friction of the air causes a vertical retardation equal to 10%

The friction of the air causes a vertical retardation equal to 10% of the acceleration due to gravity (take g=10 ms⁻²). The maximum height will be decreased by

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(a) 8% (b) 9% […]

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