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Two particles, A and B, are moving directly towards each other on a straight line with speeds of 6 m/s and 8 m/s respectively. The mass of A is 3 kg, and the mass of B is 2 kg. They collide to form a single particle of speed "v" m/s. Find v.

The student should apply their knowledge of conservation of momentum. Also, I would always encourage the student to draw a diagram for all mechanics questions as it helps visualise the problem.total chang...

KH
Answered by Kieran H. Maths tutor
4192 Views

Solve the quadratic: 3x^2+4x = 20 to find x.

Quadratic formula: where ax^2+bx+c =0, x = (-b±√(b^2-4ac))/2a.Rearrange the formula in the question to get 3x^2+4x-20 = 0.From the quadratic in the question we can see that a = 3, b = 4, c = -20.Therefore...

SF
Answered by Samuel F. Maths tutor
5239 Views

The velocity, v, of a moving body at time t is given by v = 50 - 10t. A) Find its acceleration. B) The initial displacement, s, is 40 meters. Find an expression for s in terms of t.

A) To find acceleration from a velocity equation, we must differentiate velocity, v = 50 - 10t.This gives us dv/dt = -10 = accelerationB) To find displacement from velocity, we must integrate the velocity...

AS
Answered by Alex S. Maths tutor
4393 Views

Differentiate the following: 2x^2 + 3x -2

The correct answer is: 4x+3. The first part of the equation is differentiated by multiplying the power by the constant in front (2*2). The power is then reduced by one to x^1 (which is just x). This ...

TB
Answered by Tilly B. Maths tutor
3005 Views

Solve the following for x: 2x^2-9x=5

The format of this question shows that it is a quadratic, which we can solve by factorising. We have 3 methods by which we can do this:First, we need to manipulate the eq...

NP
Answered by Noah P. Maths tutor
3408 Views

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