Question

A toy rocket is launched vertically from 5 feet above ground level with an initial velocity of 112 feet per second. The height h after t seconds is. given by the equation h(t)=-16t+112t+5. How many seconds until it lands?

Answer 1

The toy rocket will land after approximately 3.79 seconds.

Step-by-step explanation:

The height of the toy rocket is given by the equation h(t) = -16t^2 + 112t + 5, where h represents the height above ground level and t represents time in seconds.

To find the time until the rocket lands, we need to find the value of t when the height, h(t), is equal to 0. We can set the equation equal to 0 and solve for t.

By substituting the values into the quadratic equation, we find that the rocket lands approximately after 3.79 seconds.