kenny is standing on top of a boulder at his neighborhood pond he picks up a small rock so that it is 7 feet off the ground and throws the rock into the pond the height of the rock after t seconds can be modeled by the expression -16t^2 + 32t + 7 what does 7 represent in the context of the problem

1 answer

In the context of the problem, the value 7 in the expression \(-16t^2 + 32t + 7\) represents the initial height of the rock when Kenny throws it. Since Kenny initially holds the rock 7 feet off the ground, this value indicates the starting height of the rock above the pond at \(t = 0\) seconds. As time progresses, the height of the rock changes according to the rest of the expression, which accounts for the effects of gravity and the initial velocity of the throw.