Finding speeds and impulses 

Use the Impulse-Momentum principle to find the change in speed of an object after a constant force is applied for a given period of time.

A block lies on rough horizontal ground. The coefficient of friction is given and students find the maximum value of friction $F_{\text{MAX}} = \mu R$. This is then used to determine the magnitude of force that must be exceeded to achieve movement when the force is applied horizontally and at two different angles to the horizontal.

A block lies on rough horizontal ground. The coefficient of friction is given and students find the maximum value of friction $F_{\text{MAX}} = \mu R$ to determine if the block will move when three different magnitudes of force act on the block horizontally.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force acts in the positive $x$ and positive $y$ direction.

Ball projected vertically within water of a swimming pool. Find the acceleration, greatest height above the swimming pool floor reached, speed and time. Uses SUVAT equations and $F=ma$.

Edited question from user joshua boddy. 

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

Use the chain rule to differentiate various functions.

Use the product rule to differentiate various functions.

Use the quotient rule to differentiate various functions.

Use the chain rule to differentiate various functions.

Use the product rule to differentiate various functions.

Use the quotient rule to differentiate various functions.

Simplifying indices.

Finding factors and taking out composite roots.

Adapted from 'Surds 1' by Joshua Boddy.

Sin graph in radians

READY TO USE

Instructions on inputting ratios of algebraic expressions.

Inputting algebraic expressions into Numbas.

Information on inputting powers

Details on inputting numbers into Numbas.

Given th original formula the student enters the transformed formula

READY TO USE

Given th original formula the student enters the transformed formula

READY TO USE

Given th original formula the student enters the transformed formula

Practice rationalising a binomial denominator which contains surds.

Adapted from 'Surds 3' by Joshua Boddy.

Practice rationalising a single-term, surd denominator.

Adapted from 'Surds 2' by Joshua Boddy.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

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