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Mathematics, 17.12.2020 01:00 angsoccer02
A ball is thrown into the air from height 1.6 m above the ground. It initially gains height at
16.4 ms-1. After 2 seconds, it is falling at 3.2 ms-1. The height of the ball over time can be
modelled by the quadratic function h(t) = at+ bt+c metres, where t is the time in seconds.
a State h(0) and hence find c.
b State h'(0) and hence find b.
c Use the remaining information to find a.
d What was the maximum height reached by the ball, and when did it reach this height?
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Answers: 3
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A ball is thrown into the air from height 1.6 m above the ground. It initially gains height at
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