Problem

Problem

On a mini-golf hole, golfers must putt the ball through a castle's entrance. The entrance is protected by a gate which moves up and down. The height of the gate above the ground tt seconds after it touches the ground is H(t)=4sin⁡(π4(t−2))+4H(t) = 4 \sin\left(\frac{\pi}{4}(t - 2)\right) + 4 cm.

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