Je laat een bal van een toren vallen

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Hans Denayer

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Question statement

Je laat een bal van een toren vallen. De hoogte $h$ van de bal ten opzichte van de grond (in meter) na $t$ seconden wordt beschreven door de functie met voorschrift $h(t)=-4,9t²+\var{hoogte}$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

hoogte	integer	24
tijd	number	0.9
grond	number	2.2131333407
snelheid	number	-4.41

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

Description

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:

grond

Statement
Advice
"Part a)" → "Unnamed gap" - Minimum accepted value
"Part a)" → "Unnamed gap" - Maximum accepted value

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) Gap-fill
1. Gap Number entry
  Add
Part c) Gap-fill
1. Gap Number entry
  Add

Gap-fill

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

Hoe hoog is de toren?

Unnamed gap m

Advice

De hoogte is de constante term uit de vergelijking (op $t=0$ bevindt de bal zich bovenaan de toren), dus {hoogte} m.

De valtijd bedraagt $h = 0 <=> 0 = -4,9t² + \var{hoogte} <=> t² = \frac{\var{hoogte}}{4,9} <=> t = \sqrt{\frac{\var{hoogte}}{4,9}}=\var{formatnumber(precround(grond,1),"plain-eu")}$ s.

De gemiddelde snelheid is het differentiequotiënt over het interval $[0; \var{tijd}]$ .

$\frac{f(\var{tijd})-f(0)}{\var{tijd}-0}=\frac{-4,9 \cdot \var{tijd}²+\var{hoogte}-\var{hoogte}}{\var{tijd}}=-4,9 \cdot \var{tijd} = \var{formatnumber(precround(snelheid,2),"plain-eu")}$ $\frac{m}{s}$

Give a worked solution to the whole question.

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

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exam:

Examen Ajla by Hans Denayer in Voorbeeldvragen examen.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Hans Denayer 1 year, 4 months ago

Hans Denayer 1 year, 4 months ago

Hans Denayer 1 year, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Je laat een bal van een toren vallen

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Hans Denayer 1 year, 4 months ago

Hans Denayer 1 year, 4 months ago

Hans Denayer 1 year, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`