Sir/Madam, I just want to ask whether there is an equation which relates time as the square root of {(2Massdisplacement) divided by Force} when a body starts from rest and moves in a straight line with uniform acceleration.

In other words the equation is:

t=√2mS/F

Can you please tell me if such equation is possible.

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Solution

Dimensionaly such as answer is possible.
square root of {(2Massdisplacement) divided by Force} has dimension = second, which is same as that of time.

But we can't use this equation in daily life problems.
This is used just to show that equations always needs to be dimensionally correct.

So yes this equation is possible.

Hope this helps :)

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Sir/Ma'am,

The question asked by you in equations of motion the answer ellaborated gives an equation (D/5)^1/2 + D/340=180.

Kindly please guide me how to solve the equation furture i.e., how will I remove the root.

Sir/Ma'am,

The question asked by you in equations of motion the answer ellaborated gives an equation (D/5)to the power 1/2 + D/340=6.53

Kindly please guide me how to solve the equation furture i.e., how will I remove the root.

Sir give further solution. It is becoming difficult for me

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a) uniform velocity
b) uniform acceleration
c) increasing acceleration
d) decreasing acceleration
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Sir, I am not able to understand difference between word problems of quadratic equation and linear equation with two varuables. Please let me understand this.

Q. State whether true or false.
If a body starts from rest and moves with uniform acceleration, then the displacement of the body is directly proportional to the time of the journey.

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