Question

A projectile has a height given by the function h(t)=-4.9(t-4)^2 153 where time,t, is in seconds and the height, h, is in meters. What is the maximum height of the function and at what time does it reach that

height?

Answer 1

The maximum height of the function is 153 meters, and it is reached at time t = 4 seconds.

Explanation:

The given function is h(t) = -4.9(t-4)^2 + 153, where h(t) is the height of the projectile at time t in seconds.

The function is in the form of a quadratic equation, with a negative coefficient of the squared term. This means that the graph of the function is a downward-facing parabola, and the maximum height occurs at the vertex of the parabola.

The vertex of the parabola is at the point (4, 153), which means that the maximum height of the projectile is 153 meters, and it occurs at time t = 4 seconds.

Therefore, the maximum height of the function is 153 meters, and it is reached at time t = 4 seconds.