Problem Bank | IB Math AAHL

[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.

Write down the initial height of the ball.
[1]
Part (a):
h(0)= m
Find the maximum height of the ball.
[1]
Solve h(t)=0, and state the solution's significance in the context of the problem.
[2]

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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.

Write down the initial height of the ball.
[1]
Part (a):
h(0)= m
Find the maximum height of the ball.
[1]
Solve h(t)=0, and state the solution's significance in the context of the problem.
[2]