both rachel and dominique throw tennis balls into the air. at any time, t, the height, h, of rachels ball is…

both rachel and dominique throw tennis balls into the air. at any time, t, the height, h, of rachels ball is modeled by the equation h = -16t² + 30t + 5. dominique throws his tennis ball with the same acceleration, a, from the same initial height, h₀, but with an initial velocity, v, double that of rachels. which equation best models the height of dominiques tennis ball?\nh(t)=at² + vt + h₀\n○ h = -16t² + 30t + 10\n○ h = -32t² + 60t + 10\n○ h = -32t² + 30t + 5\n○ h = -16t² + 60t + 5

both rachel and dominique throw tennis balls into the air. at any time, t, the height, h, of rachels ball is modeled by the equation h = -16t² + 30t + 5. dominique throws his tennis ball with the same acceleration, a, from the same initial height, h₀, but with an initial velocity, v, double that of rachels. which equation best models the height of dominiques tennis ball?\nh(t)=at² + vt + h₀\n○ h = -16t² + 30t + 10\n○ h = -32t² + 60t + 10\n○ h = -32t² + 30t + 5\n○ h = -16t² + 60t + 5

Answer

Explanation:

Step1: ラケルの式の係数を分析

ラケルのボールの高さの式は$h = -16t^{2}+30t + 5$で、一般式$h(t)=at^{2}+vt+h_{0}$において、加速度$a=-16$、初期速度$v = 30$、初期高さ$h_{0}=5$です。

Step2: ドミニクのパラメータを求める

ドミニクは同じ加速度$a=-16$、同じ初期高さ$h_{0}=5$で、初期速度がラケルの2倍なので、$v = 2\times30=60$です。

Step3: ドミニクのボールの高さの式を得る

$a=-16$、$v = 60$、$h_{0}=5$を一般式$h(t)=at^{2}+vt+h_{0}$に代入すると、$h=-16t^{2}+60t + 5$です。

Answer:

$h=-16t^{2}+60t + 5$のオプション