Harry's copy of Differentiation 17 - Applications

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Harry Flynn

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Harry Flynn 6 years, 11 months ago

Created this.

Name	Status	Author	Last Modified
Harry's copy of Differentiation 17 - Applications	draft	Harry Flynn	08/05/2018 12:35
Praneetha's copy of Harry's copy of Differentiation 17 - Applications	draft	Praneetha Singh	28/06/2018 05:55

Question statement

An unpowered missile is launched vertically from the ground.

At a time $t$ seconds after the instant of projection, its height, $y$ metres, above the ground is given by the formula

$y=\var{ct}t-\var{cts}t^2.$

Calculate the maximum height reached by the missile.

Give any introductory information the student needs.

			Name	Type	Generated Value

			cts	integer	7
			ct	number	80

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(3..9)

JME function reference

Description

coeff of t^2

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Gap 0. Mathematical expression
  Add
2. Gap Gap 1. Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

$y=\var{ct}t-\var{cts}t^2$

Firstly, differentiate.

$\frac{dy}{dx}=$ Gap 0.

Now use this result and your knowledge of differentiation to find the maximum height of the missile, rounding to the nearest whole number.

$y=$ Gap 1.

Advice

This section draws on the skills learnt the previous parts of the 'Differentiation' series of questions, and some logical thinking about the physics of the problem.

The steps within the part walk through the process.

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Information only
Mathematical expression
Mathematical expression		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is not used in any exams.

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Harry's copy of Differentiation 17 - Applications

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

Harry Flynn 6 years, 11 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Harry's copy of Differentiation 17 - Applications

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Harry Flynn 6 years, 11 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`