Mathematics, 11.08.2021 14:00 indexes06

A ball thrown upwards hits a roof and returns back to the ground. The upward movement is modeled by a function
s= −(t^2)+3t+4
and the downward movement is modeled by
s= −2(t^2)+t+7, where s is the distance (in metres) from the ground and t is the time in seconds.

Find the height of the roof from the ground.

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