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A cricket player is capable of throwing a ball at velocity v. Neglecting air resistance, what angle from the horizontal should they throw at to achieve maximum distance before contact with the ground? How far is that distance?

Assume angle of throw theta. Resolving vertical and horizontal components: Vvert=v.sin(theta) and Vhoriz=v.cos(theta).From 'suvat' equations, time to vertical stationary t=v/a. This must be doubled to find t...
BW
Answered by Benjamin W. • Maths tutor
3942 Views

Find the GS to the following 2nd ODE: d^2y/dx^2 + 3(dy/dx) + 2 = 0

Set up the auxiliary equation by letting (dy/dx) = m So we have: m 2 + 3m + 2 = 0 Solve for m and we get: (m+1)(m+2) = 0Therefore, m 1 =-1 and m 2 =-2 Now we see we have 2 different real numbers as the solut...
IG
2638 Views

How can you tell if a reaction is feasible and what factors contribute towards this?

A reaction is said to be feasible or spontaneous when the Gibbs Free Energy ( Delta G) of the reaction is <0. Conversely, when the Gibbs Free Energy ( Delta G) of the reaction is >0, a reaction is said...
JR
Answered by Jamie R. • Chemistry tutor
19487 Views

How do I structure my essay?

This is such a commonly asked question, that I rarely address much else in my first lesson. Structuring essays is overwhelming, especially when you are comparing two literary works, looking to show off what ...
AM
4008 Views

3 teas and 2 coffees have a total cost of £7.80. 5 teas and 4 coffees have a total cost of £14.20. Work out the cost of one tea and the cost of one coffee.

This is a typical simultaneous equations question. Using the information in the question we can write down two equations in two unknowns (let's say T=tea and C=coffee).(1) 3T + 2C = £7.80(2) 5T + 4C = £14.20...
EP
Answered by Emily P. • Maths tutor
9963 Views