contestada

if a certain cannon is fired from a height of 8.5 meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at time, t, In seconds, is found by the function h(t)=-4.9t^2+27.5t+8.5 Find the time it takes for the cannonball to strike the ground.

if a certain cannon is fired from a height of 85 meters above the ground at a certain angle the height of the cannonball above the ground h in meters at time t class=

Respuesta :

akjlaurelsprings

Answer: 2.88 seconds

Step-by-step explanation:

we need to find t in the formula, when h(t) = 0, (meaning it hits the ground).

0 = -4.9t² + 27.5t + 8.5

Using the quadratic formula:

x = (-b ± √b² - 4ac)/2a

x = (-27.5 ± √27.5² - 4(-4.9)(8.5))/2(27.5)

x = (-27.5 ± 30.38)/55

x = 2.88   OR     x = -57.88

Since time cannot be negative, we will stick with the positive answer, 2.88 seconds.

Hope this helped :)

Otras preguntas