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A cannonball is fired at an angle of 30 degrees and a velocity of 16 m/s. How long does it take (to 2 significant figures) for the cannonball to reach the ground?

First, we make the standard assumption that there is no air resistance, meaning that gravity is the only force acting on our cannonball. We then use the SUVAT equations, so: S = 0m (because it will return...

Answered by Nada B. Maths tutor
3808 Views

How would I find the nth term of this sequence? 15, 18, 21, 24, ...

The nth term refers to the function which will have to be applied to the number of a term in a sequence in order to produce that term.The 1st term in this sequence is 15 the 2nd is 18 and the 3rd is 21. W...

Answered by Joey R. Maths tutor
6516 Views

Given the following system of linear equations x - 3y = 5 AND 2x + y = 3 how do I find x and y?

To solve this system of linear equations (therefore, to find x and y) we can proceed the following:1) we isolate x from the first question, moving -3y on the right hand side of the equation. When we move ...

Answered by Domiziana T. Maths tutor
1591 Views

The curve C has equation ye^(-2x) = 2x + y^2. Find dy/dx in terms of x and y.

The curve's equation is presented as an implicit function. Therefore we must use implicit differentiation to solve this problem. To do this, we differentiate both sides of the equation with respect to x, ...

Answered by Georgia W. Maths tutor
7627 Views

Write 36 as a product of its prime factors giving the answer in index form.

A prime number is a number only divisible by itself and 1. To write 36 as a product of its prime factors we use a factor tree. The key thing to remember is to always circle the prime numbers. So we start ...

Answered by Lucy T. Maths tutor
18311 Views

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