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A particle P moves with acceleration (-3i + 12j) m/s^2. Initially the velocity of P is 4i m/s. (a) Find the velocity of P at time t seconds. (b) Find the speed of P when t = 0.5

Solution:

  1. V = V(0) + a*t

  2. From the question: a = (-3i + 12j);

    AR
    Answered by Artur R. Maths tutor
    7116 Views

Using the quadratics formula find the two solutions to x^2 + 3x + 2 = 0.

x1 = (-b + (b2 - 4ac)1/2)/2a and x2 = (-b - (b2 - 4ac)1/2)/2a. So with the values a = 1, b = 3 and c = 2: x1 = (-3 + (32 <...

RD
Answered by Rebecca D. Maths tutor
4025 Views

Starting with x^2+2x+1=0 use the method of factorising to solve for x.

x2+2x+1=0, (x+1)(x+1)=0, (x+1)2=0. So x=-1

RD
Answered by Rebecca D. Maths tutor
4313 Views

How do you differentiate a function?

The differential of a function is defined by the expression: dy/dx = Lim(dx->0) of (f(x+dx)-f(x))/dx. For functions only involving powers of x, the differentioal can easily be calculated by timesing by...

MH
Answered by Max H. Maths tutor
4036 Views

Line AB, with equation: 3x + 2y - 1 = 0, intersects line CD, with equation 4x - 6y -10 = 0. Find the point, P, where the two lines intersect.

Let eqn. 1 be: 3x + 2y - 1 = 0  & Let eqn. 2 be: 4x - 6y -10 = 0

Multiply eqn. 1 by a factor of 3, and add the two eqautions together. (This eliminates y from the equation)

This gives: 9...

KS
Answered by Kris S. Maths tutor
4240 Views

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