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This is a classic 2-D projectile question.

The best way to solve this problem is to split the velocity into its x and y components.

In the x-direction a projectile has no forces acting on it...

First must recall the formula, of pi multiplied by the integral of y²

After this, the correct integration should be applied, using an appropriate method that the student has learnt

In simple differentiation, we can use the fact that if y= x^n, dy/dx is equal to nx^(n-1). In other words, multiply the x term by the power, then decrease the power by 1. Here we have 2 terms so approach ...

To begin with, lets rewrite the equation in a way which is easier to understand by making y the subject and multiplying out the brackets:

y = x² - 4x - 14

this looks significantly...

To tackle this problem, we will spilt the two terms given.

Firsly, we'll take the sin(x) by itself: d/dx (sinx) = cos(x) - where d/dx means the ...