Question

a boy throws a baseball across a field. the ball reaches its maximum height, 18 meters, after 1 second. after approximately 2.3 seconds, the ball lands on the ground. the balls motion can be modeled using the function f(x)= -10x² + 20x + 8. what is the height of the ball 1.5 seconds after it is thrown?
11.7 meters
13.8 meters
15.5 meters
17.5 meters

Explanation:

Step1: Identificar el valor de x

El valor de x es el tiempo transcurrido. Aquí, x = 1.5 segundos.

Step2: Sustituir x en la función

Sustituimos x = 1.5 en la función f(x)= - 10x² + 20x + 8. Entonces f(1.5)=-10×(1.5)²+20×1.5 + 8.

Step3: Calcular los términos

Primero, calculamos (1.5)² = 2.25. Entonces -10×(1.5)²=-10×2.25=-22.5. Luego, 20×1.5 = 30.

Step4: Calcular el valor final de f(1.5)

f(1.5)=-22.5 + 30+8 = 15.5 metros.

Answer:

15.5 metros