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A rocket is at rest on the moon, where g=2 m/s^2. It has a total mass of 1500kg, 1000kg of which is fuel. Fuel is propelled out of the bottom of the rocket at 400m/s, at a rate of 10kg/s. Derive an equation to show its upwards acceleration over time.

The first step is to construct a force diagram of the rocket, which has two forces acting on it; its weight (W) and thrust (T) in opposite directions. T can be calculated by combining the equations F=ma a...

Answered by Alexander B. • Oxbridge Preparation tutor

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Describe and explain how blood glucose levels are controlled following a meal.

Following a meal, the levels of glucose in the blood will increase. This increase in the level of glucose needs to be controlled, otherwise the levels of glucose will become too high and someone could end...

Answered by Dr Usama A. • Biology tutor

2794 Views

How can I use the Pythagoras' Theorem to work out the length of a missing side of a triangle?

We have the triangle ABC. AB = 3 BC = 4 AC = ?
By inputting these numbers into the Pythagoras' Theorem, we can out the length of the missing side (AC).
a²+ b² = c²

Answered by Zhane E. • Maths tutor

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When do we use the imperfect tense and how is it formed?

The imperfect tense is used for continuous, ongoing actions in the past. It is often used for descriptions (when we are 'setting the scene') in the past, and it is used when we talk about things that we '...

Answered by James H. • French tutor

1845 Views

The curve C has equation f(x) = 4(x^1.5) + 48/(x^0.5) - 8^0.5 for x > 0. (a) Find the exact coordinates of the stationary point of C. (b) Determine whether the stationary point is a maximum or minimum.

Part a:f(x) = 4x^1.5 + 48x^-0.5 - 8^0.5Finding the gradient function, f'(x) = 6x^0.5 - 24x^-1.5At the stationary point, the gradient is zero, so f'(x) = 0...

Answered by Shashank P. • Further Mathematics tutor

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