Ex: 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 t seconds after it touches the ground is H(t) = -4cos(45+)⁰ . 4 cm. a) Sketch the graph of H against t for Osts16 b) Find the height of the gate above the ground 2 seconds after the gate touches the ground. c) Eric is using a golf ball with radius 2.14 cm. He putts the ball I second after the gate touches the ground, and the ball takes 5.3 seconds to reach the castle's entrance. Will the ball pass through the entrance?

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