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Maths-

General

Easy

Question

If $S equals 2 t to the power of 3 end exponent minus 3 t to the power of 2 end exponent plus 15 t minus 8$ , then the initial velocity is

8
10
15
36

The correct answer is: 15

$V equals fraction numerator d s over denominator d t end fraction equals 6 t to the power of 2 end exponent minus 6 t plus 15$

Related Questions to study

The curves $blank x to the power of 2 end exponent minus y to the power of 2 end exponent equals 5 blank$ and $blank fraction numerator x to the power of 2 end exponent over denominator 18 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 8 end fraction equals 1 blank$ cut each other at the common point at an angle

The curves $blank x to the power of 2 end exponent minus y to the power of 2 end exponent equals 5 blank$ and $blank fraction numerator x to the power of 2 end exponent over denominator 18 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 8 end fraction equals 1 blank$ cut each other at the common point at an angle

The area of the triangle formed by the tangent to the curve $blank y equals fraction numerator 8 over denominator 4 plus x to the power of 2 end exponent end fraction blank$ at x=2 on it and the axes is

The area of the triangle formed by the tangent to the curve $blank y equals fraction numerator 8 over denominator 4 plus x to the power of 2 end exponent end fraction blank$ at x=2 on it and the axes is

If the normal line at (1, -2) on the curve $blank y to the power of 2 end exponent equals 5 x minus 1 blank$ is ax - 5y + b = 0 then the values of a and b are

If the normal line at (1, -2) on the curve $blank y to the power of 2 end exponent equals 5 x minus 1 blank$ is ax - 5y + b = 0 then the values of a and b are

parallel

If the curve $blank y equals p x to the power of 2 end exponent plus q x plus r blank$ passes through the point (1,2) and the line y = x touches it at the origin, then the values of p,q and r are

If the curve $blank y equals p x to the power of 2 end exponent plus q x plus r blank$ passes through the point (1,2) and the line y = x touches it at the origin, then the values of p,q and r are

The curve $blank x to the power of 4 end exponent minus 2 x y to the power of 2 end exponent plus y to the power of 2 end exponent plus 3 x minus 3 y equals 0 blank$ cuts the x-axis at (0,0) at an angle

The curve $blank x to the power of 4 end exponent minus 2 x y to the power of 2 end exponent plus y to the power of 2 end exponent plus 3 x minus 3 y equals 0 blank$ cuts the x-axis at (0,0) at an angle

The angle between x-axis and the tangent to the curve $blank y equals 6 plus x minus x to the power of 2 end exponent text at end text left parenthesis 2 , 4 right parenthesis blank$ is

The angle between x-axis and the tangent to the curve $blank y equals 6 plus x minus x to the power of 2 end exponent text at end text left parenthesis 2 , 4 right parenthesis blank$ is

parallel

A particle of mass m moving horizontally with v₀ strikes a smooth wedge of mass M, as shown in figure. After collision, the ball starts moving up the inclined face of the wedge and rises to a height h. When the particle has risen to a height h on the wedge, then choose the correct alternative(s)

A particle of mass m moving horizontally with v₀ strikes a smooth wedge of mass M, as shown in figure. After collision, the ball starts moving up the inclined face of the wedge and rises to a height h. When the particle has risen to a height h on the wedge, then choose the correct alternative(s)

physics-General

In a one dimensional collision between two identical particles A and B, B is stationary and A has momentum p before impact. During impact, B gives impulse J to A

In a one dimensional collision between two identical particles A and B, B is stationary and A has momentum p before impact. During impact, B gives impulse J to A

physics-General

A ball of mass m collides elastically with an identical ball at rest with some impact parameter

A ball of mass m collides elastically with an identical ball at rest with some impact parameter

physics-General

parallel

A spring block system is placed on a rough horizontal floor. The block is pulled towards right to give spring some elongation and released

A spring block system is placed on a rough horizontal floor. The block is pulled towards right to give spring some elongation and released

physics-General

A block of mass m slides down a plane inclined at an angle $theta$ . Which of the following will NOT increase the energy lost by the block due to friction?

A block of mass m slides down a plane inclined at an angle $theta$ . Which of the following will NOT increase the energy lost by the block due to friction?

physics-General

Imagine a situation in which the horizontal surface of block M₀ is smooth, and its vertical surface is rough with a coefficient of friction $mu$ . Consider a special situation in which both the faces of the block M₀ are smooth, as shown in adjoining figure. Mark out the correct statement(s)

Imagine a situation in which the horizontal surface of block M₀ is smooth, and its vertical surface is rough with a coefficient of friction $mu$ . Consider a special situation in which both the faces of the block M₀ are smooth, as shown in adjoining figure. Mark out the correct statement(s)

physics-General

parallel

A block of mass M is placed on a horizontal surface and it is tied with an inextensible string to a block of mass, as shown in figure. A block of mass m₀ is also placed on M. If friction force exists between the block M and the block m₀ and not between the block M and the horizontal surface, then the minimum value of $mu$ for which the block m remains stationary is

A block of mass M is placed on a horizontal surface and it is tied with an inextensible string to a block of mass, as shown in figure. A block of mass m₀ is also placed on M. If friction force exists between the block M and the block m₀ and not between the block M and the horizontal surface, then the minimum value of $mu$ for which the block m remains stationary is

physics-General

A block of mass M is placed on a horizontal surface and it is tied with an inextensible string to a block of mass, as shown in figure. A block of mass m₀ is also placed on M. If $mu subscript 0 end subscript$ be the coefficient of friction between the block M and the horizontal surface then the minimum value of m₀ required to keep the block m stationary is

A block of mass M is placed on a horizontal surface and it is tied with an inextensible string to a block of mass, as shown in figure. A block of mass m₀ is also placed on M. If $mu subscript 0 end subscript$ be the coefficient of friction between the block M and the horizontal surface then the minimum value of m₀ required to keep the block m stationary is

physics-General

A block of mass M is placed on a horizontal surface and it is tied with an inextensible string to a block of mass, as shown in figure. A block of mass m₀ is also placed on M. In previous problem, the tension in the string will be

A block of mass M is placed on a horizontal surface and it is tied with an inextensible string to a block of mass, as shown in figure. A block of mass m₀ is also placed on M. In previous problem, the tension in the string will be

physics-General

parallel

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