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In: Physics

The height (h) in centimetres of Shuntaro’s pogo stick from the ground as he jumps on...

The height (h) in centimetres of Shuntaro’s pogo stick from the ground as he jumps on it since s seconds have passed is roughly modelled by the equation h(s) = sin^2 4x + 2sin4x + 1.
a) How many times does Shuntaro hit the ground in the first 5 seconds?
b) How many centimetres is Shuntaro off the ground after 2 seconds?
c) During the first second, when is Shuntaro at 2.5 centimetres to two decimal places?

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