Question

Can someone help me solve the first math problem please in a quadratic b model

Answer 1

i) To find the maximum height of the projectile, we need to find the highest point that it reaches before falling back to the ground. In this case, the maximum height is the vertex of the parabola. To find the vertex, we can use the formula:

x=-b/2a

(12,845)

Substituting this value back into the original height equation, we find the maximum height:

h = -5(12)^2 + 120(12) + 125 = -300 + 1440 + 125 =845

So the maximum height of the projectile is 845 meters.

ii) To find when the projectile reaches its maximum height, we need to find the x-coordinate of the vertex of the parabola. As we found above, the x-coordinate of the vertex is 12 seconds. So the projectile reaches its maximum height at 12 seconds.