Differentiation 17 - Applications - Numbas at mathcentre.ac.uk

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Name	Status	Author	Last Modified
Differentiation 17 - Applications	Ready to use	Katie Lester	01/06/2016 09:47
Jinhua's copy of Differentiation 17 - Applications	Ready to use	Jinhua Mathias	27/08/2024 16:37
Vicky's copy of Differentiation 17 - Applications	draft	Vicky Hall	17/10/2016 15:11
Jinhua's copy of Differentiation 17 - Applications	draft	Jinhua Mathias	28/08/2024 12:15
OCHO TRES Derivadas valor de f'	draft	Marlon Arcila	08/09/2021 00:47
Blathnaid's copy of Vicky's copy of Differentiation 17 - Applications	draft	Blathnaid Sheridan	01/02/2017 11:26
cormac's copy of Blathnaid's copy of Vicky's copy of Differentiation 17 - Applications	draft	cormac breen	04/03/2017 17:43
cormac's copy of cormac's copy of Blathnaid's copy of Vicky's copy of Differentiation 17 - Applications	draft	cormac breen	04/03/2017 17:47
Differentiation 17 - Applications	draft	Xiaodan Leng	11/07/2019 06:59

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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	5
			ct	number	50

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`

→ Used by:

Statement
"Unnamed part" - prompt
"Unnamed part" → "Gap 0." - Correct answer
"Unnamed part" → "Gap 1." - Minimum accepted value
"Unnamed part" → "Gap 1." - Maximum accepted value
"Unnamed part" → "Step 0." - Correct answer
"Unnamed part" → "Step 1." - Minimum accepted value
"Unnamed part" → "Step 1." - Maximum accepted value

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 used in the following exam:

Differentiation-Application by Jinhua Mathias in Deactivated user's workspace.

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Differentiation 17 - Applications

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Checkpoint description

Katie Lester 9 years, 7 months ago

Katie Lester 9 years, 7 months ago

Error in variable testing condition

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Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Differentiation 17 - Applications

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Katie Lester 9 years, 7 months ago

Katie Lester 9 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`