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Two forces P and Q act on a particle. The force P has magnitude 7 N and acts due north. The resultant of P and Q is a force of magnitude 10 N acting in a direction with bearing 120°. Find the magnitude of Q and the bearing of Q.

There are 2 methods to solving this- the visual method and the kinesthetic method. Here I will use the visual one. We start by creating a vector triangle. We are going to use R = P + Q, where R is the result...
YP
Answered by Yaasir P. • Maths tutor
12064 Views

A particle is moving in the with acceleration (2t - 3) ms^-2 and initial velocity 2ms^-1. Find the distance travelled when the velocity has reached 12ms^-1.

(1.) Integrate the expression for acceleration to find an expression for velocity: Velocity v = t^2 - 3t + c When t = 0, velocity = 2. Substituting in to find constant c, 2 = 0 + 0 + c therefore c = 2. v = t...
RF
Answered by Richard F. • Maths tutor
6890 Views

How does differentiation work?

Differentiation is essentially a method of finding the gradient of a function. To put that in better terms, imagine you have a graph of y=x, this is a straight line which means the gradient will always be th...
AG
Answered by Anthony G. • Maths tutor
3784 Views

What is the sum of 3/5 and 7/8?

First of all we need to find a common denominator. This is the smallest number that can be divided by both 5 and 8, which is 40. 24/40 + 35/40 Method: 5 goes into forty 8 times and so we must multiply the 3 ...
BR
Answered by Benjamin R. • Maths tutor
9480 Views

For the following right angled triangle find the value of x to 1 dp.

x/4 = cos(50 o ) x = 4cos(50 o ) x = 2.6cm (1dp)
AP
Answered by Angus P. • Maths tutor
3982 Views