Question

Mark launched his model rocket from the ground. As it flew, its height followed the path of the equation , where the height, , is in feet and the time, , is in seconds. How many seconds will it take the rocket to reach a height of 350 feet going up? Round your answer to the nearest tenth.

Answer 1

The rocket will take approximately 2.7 seconds to reach a height of 350 feet going up.

Step-by-step explanation:

The question is asking for the number of seconds it will take for a rocket to reach a height of 350 feet going up. To find the answer, we need to solve the equation given. The equation represents the rocket's height as a function of time. We set the equation equal to 350 and solve for the time, t. This gives us the time it takes for the rocket to reach a height of 350 feet going up.

Equation: h = -16t^2 + 100t

Solving for t: -16t^2 + 100t = 350

Rounded answer: The rocket will take approximately 2.7 seconds to reach a height of 350 feet going up.