A rock is thrown upward from a bridge into a river below. The function f(t) = -16t² + 37t + 116 determines the height of the rock above the surface of the water (in feet) in terms of the number of seconds t since the rocket was thrown. **Must show ALL algebraic work to receive full credit.** a. What is the bridge's height above the water? b. How many seconds after being thrown does the rock hit the water?
A rock is thrown upward from a bridge into a river below. The function f(t) = -16t² + 37t + 116 determines the height of the rock above the surface of the water (in feet) in terms of the number of seconds t since the rocket was thrown. **Must show ALL algebraic work to receive full credit.** a. What is the bridge's height above the water? b. How many seconds after being thrown does the rock hit the water?
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Transcribed Image Text:**Problem: Projectile Motion and Quadratic Functions**
A rock is thrown upward from a bridge into a river below. The function \( f(t) = -16t^2 + 37t + 116 \) determines the height of the rock above the surface of the water (in feet) in terms of the number of seconds \( t \) since the rock was thrown.
**Instructions:** Must show ALL algebraic work to receive full credit.
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**a.** What is the bridge’s height above the water?
**b.** How many seconds after being thrown does the rock hit the water?
**c.** How many seconds after being thrown does the rock reach its maximum height above the water?
**d.** What is the rock’s maximum height above the water?
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