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The velocity of a particle is given by the equation v= 4t+cos4t where t is the time in seconds and v is the velocity in m s ^-1. Find the time t when the particle is no longer accelerating for the interval 0≤t≤2.

This problem tests two key sub-topics in calculus, kinematics and the chain rule. Firstly, you must realise that the derivative of a velocity function will give you the acceleration function. So by finding t...
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Answered by Marc B. • Maths tutor
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What is the Lowry and Bronsted definition of acids and bases?

Acids are defined as proton donors and bases are defined as proton acceptors.
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Answered by Ashley Y. • Chemistry tutor
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Find the points at which the equation y = x^2 - 12x + 35 intersects the x-axis.

To find the points at which an equation intersects the x-axis, we first need to factorise the equation to be able to find the solutions. To do this, we consider the general form of a quadratic equation ax^2 ...
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Answered by Sam H. • Maths tutor
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What do we mean by latent heat?

When heating a substance, the particles gain energy. As you heat a solid, it eventually changes to a liquid and if you continue to add more heat, it will eventually turn into a gas. When a solid turns into a...
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Answered by Melinda L. • Science tutor
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What is the difference between assault and battery?

As James J stated in the case of Fagan v MPC: Although "assault" is an independent crime and is to be treated as such, for practical purposes today "assault" is generally synonymous with ...
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Answered by Alisha Y. • Law tutor
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