Question

A particle is released from a height. At certain height its kinetic energy is three times its potential energy. The height and speed of the particle at that instant are respectively

## The correct answer is:

### Velocity at when dropped from where

Or (i)

Potential energy at (ii)

Kinetic energy potential energy

### Related Questions to study

### If x is real, then maximum value of is

### If x is real, then maximum value of is

### The value of 'c' of Lagrange's mean value theorem for is

### The value of 'c' of Lagrange's mean value theorem for is

### The value of 'c' of Rolle's mean value theorem for is

### The value of 'c' of Rolle's mean value theorem for is

### The value of 'c' of Rolle's theorem for – on [–1, 1] is

### The value of 'c' of Rolle's theorem for – on [–1, 1] is

### For in [5, 7]

### For in [5, 7]

### The value of 'c' in Lagrange's mean value theorem for in [0, 1] is

### The value of 'c' in Lagrange's mean value theorem for in [0, 1] is

### The value of 'c' in Lagrange's mean value theorem for in [0, 2] is

### The value of 'c' in Lagrange's mean value theorem for in [0, 2] is

### The equation represents

### The equation represents

### The polar equation of the circle whose end points of the diameter are and is

### The polar equation of the circle whose end points of the diameter are and is

### The radius of the circle is

### The radius of the circle is

### The adjoining figure shows the graph of Then –

Here we can see that the graph was given to us and us to take out the conclusion from that since we have the options available so I would suggest you to always start to check from the options because by the use of options we can see how easily we concluded this question.

### The adjoining figure shows the graph of Then –

Here we can see that the graph was given to us and us to take out the conclusion from that since we have the options available so I would suggest you to always start to check from the options because by the use of options we can see how easily we concluded this question.

### Graph of y = ax^{2} + bx + c = 0 is given adjacently. What conclusions can be drawn from this graph –

Here we can see that the graph was given to us and us to take out the conclusion from that since we have the options available so I would suggest you to always start to check from the options because by the use of options we can see how easily we concluded this question.

### Graph of y = ax^{2} + bx + c = 0 is given adjacently. What conclusions can be drawn from this graph –

### For the quadratic polynomial f (x) = 4x^{2} – 8kx + k, the statements which hold good are

### For the quadratic polynomial f (x) = 4x^{2} – 8kx + k, the statements which hold good are

### The graph of the quadratic polynomial y = ax^{2} + bx + c is as shown in the figure. Then :

### The graph of the quadratic polynomial y = ax^{2} + bx + c is as shown in the figure. Then :

### The greatest possible number of points of intersections of 8 straight line and 4 circles is :

The students can make an error if they don’t know about the formula for calculating the number of points as mentioned in the hint which is as follows

The number point of intersection between two lines can be counted by finding the number of ways in which two lines can be selected out of the lot as two lines can intersect at most one point.

The number point of intersection between two circles can be counted by finding the number of ways in which two circles can be selected out of the lot multiplied by 2 as two circles can intersect at most two points.

The number point of intersection between two circles can be counted by finding the number of ways in which one circle and one line can be selected out of the lot multiplied by 2 as one circle and one line can intersect at most two points.

### The greatest possible number of points of intersections of 8 straight line and 4 circles is :

The students can make an error if they don’t know about the formula for calculating the number of points as mentioned in the hint which is as follows

The number point of intersection between two lines can be counted by finding the number of ways in which two lines can be selected out of the lot as two lines can intersect at most one point.

The number point of intersection between two circles can be counted by finding the number of ways in which two circles can be selected out of the lot multiplied by 2 as two circles can intersect at most two points.

The number point of intersection between two circles can be counted by finding the number of ways in which one circle and one line can be selected out of the lot multiplied by 2 as one circle and one line can intersect at most two points.