Question

When will the object reach its maximum height ? ( answer in seconds)What is its maximum height? (Answer in feet)

Answer 1

Solution

- The initial height based on the question is 12 ft and the initial velocity is 81ft/s

- Thus, the equation governing the movement of the object is:

$s(t)=-16t^2+81t+12$

- We can plot the graph of the equation of the object's movement to see its path as shown below:

- The x-axis gives the time, while the y-axis gives the distance covered.

Question A:

The object will reach maximum height at 2.53 seconds

Question B:

The object's maximum height is 114.52 ft