Final answer:
To determine the maximum height of the rocket, we can use the equations of motion. Assuming negligible air resistance, the rocket will reach a height of 400 ft.
Step-by-step explanation:
To determine how high the rocket will go, we can use the equations of motion. The rocket is fired straight up with an initial velocity of 160 ft/sec. Assuming negligible air resistance, the rocket will continue to rise until its vertical velocity becomes zero. At this point, the rocket will reach its highest point, also known as the maximum height.
Using the equation v^2 = u^2 + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the displacement, we can find the time it takes for the rocket to reach its maximum height. Since the final velocity when the rocket reaches its maximum height is zero, we have 0 = (160)^2 + 2*(-32)s. Solving for s, we find that s = 400 ft.
Therefore, the rocket will reach a height of 400 ft.