8 - 4: lesson quiz the function h(t)=-16t² + 32t + 24 models the height h, in feet, of a ball t seconds…

8 - 4: lesson quiz the function h(t)=-16t² + 32t + 24 models the height h, in feet, of a ball t seconds after it is thrown straight up into the air. what is the initial velocity and the initial height of the ball? a. 16 ft/s, 32 ft b. 24 ft/s, 32 ft c. 32 ft/s, 24 ft d. 48 ft/s, 24 ft

8 - 4: lesson quiz the function h(t)=-16t² + 32t + 24 models the height h, in feet, of a ball t seconds after it is thrown straight up into the air. what is the initial velocity and the initial height of the ball? a. 16 ft/s, 32 ft b. 24 ft/s, 32 ft c. 32 ft/s, 24 ft d. 48 ft/s, 24 ft

Answer

Explanation:

Step1: Identificar la ecuación de movimiento

La ecuación de la altura de un objeto en movimiento vertical es $h(t)=-16t^{2}+v_{0}t + h_{0}$, donde $v_{0}$ es la velocidad inicial y $h_{0}$ es la altura inicial.

Step2: Comparar con la ecuación dada

Dada $h(t)=-16t^{2}+32t + 24$, al compararla con $h(t)=-16t^{2}+v_{0}t + h_{0}$, vemos que $v_{0}=32$ ft/s y $h_{0}=24$ ft.

Answer:

C. 32 ft/s, 24 ft