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A particle of mass 0.25 kg is moving with velocity (3i + 7j) m s–1, when it receives the impulse (5i – 3j) N s. Find the speed of the particle immediately after the impulse.

In order to answer this question, we must first understand the concept of impulse. When a force acts on an object, its momentum is being changed, and this change is defined as the impulse. Put simply, Impuls...
AM
Answered by Aashish M. • Maths tutor
8647 Views

Find the slope of the line perpendicular to the line y = (1/5)x - 2

Two lines are perpendicular if the product of their slopes is equal to -1. m1 x m2 = -1 The slope of the given line is equal to 1 / 5. If m is the slope of the line perpendicular to the given line, then m1 x...
AS
Answered by Anas S. • Maths tutor
3353 Views

The quadratic equation 2x^2 + 6x + 7 = 0 has roots A and B. Write down the value of A + B and the value of AB

Upon being told to find the roots of a quadratic we should investigate the various different ways of finding these roots. With experience you will learn to be able to find roots without many calculations usu...
KD
Answered by Killian D. • Maths tutor
10002 Views

Find dy/dx of y = a^x

To differentiate a function of the form y=a^x you need to use a neat little trick to rewrite a^x in the form of something you already know how to differentiate. Using the fact that e^ln(x) is equal to x, y =...
TD
Answered by Tutor33284 D. • Maths tutor
24863 Views

Show how '2sin(x)+sec(x+ π/6)=0' can be expressed as √3sin(x)cos(x)+cos^2(x)=0.

To do this question we must first be aware of a few trigonometric identities. 1. sec(x) = 1/cos(x). 2. cos(A + B) = cos(A)cos(B) - sin(A)sin(B). (double angle formula) 3 . sin^2(x) = 1 - cos^2(x) Before divi...
RP
Answered by Ruadhan P. • Maths tutor
10592 Views