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Perplex
  • Dashboard
Topics
Exponents & LogarithmsRounding & ErrorSequences & SeriesFinancial Mathematics
Cartesian plane & linesFunction TheoryModelling
2D & 3D GeometryVoronoi Diagrams
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random VariablesInference & Hypotheses
DifferentiationIntegration
Calculator Skills
Review VideosFormula BookletAll Study Sets
BlogLanding Page
Sign UpLogin
Perplex
IB Math AISL
/
Modelling
/
Problem Bank
IB Math AISL
/
Modelling
/
Problem Bank

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[Maximum mark: 4]

A ball is thrown upwards and its height above the ground, in metres, after ​t​ seconds is modeled by

​
h(t)=−5t2+20t+2.
​
  1. Write down the initial height of the ball.

    [1]
    Part (a):
    h(0)= m
  2. Find the maximum height of the ball.

    [1]
  3. Solve ​h(t)=0, and state the solution's significance in the context of the problem.

    [2]
[Maximum mark: 4]

A ball is thrown upwards and its height above the ground, in metres, after ​t​ seconds is modeled by

​
h(t)=−5t2+20t+2.
​
  1. Write down the initial height of the ball.

    [1]
    Part (a):
    h(0)= m
  2. Find the maximum height of the ball.

    [1]
  3. Solve ​h(t)=0, and state the solution's significance in the context of the problem.

    [2]