The ball reaches a height of 120ft at t = 2.2 seconds and t = 3.5 seconds. The throw has a velocity of 90ft/s, which designates v(0) = 90. Using the projectile height formula established allows for calculating the duration when the ball achieves 120ft, leading us to these two specified times.
A vertical throw refers to an instance where an object is tossed straight up with an initial speed, v_o, and is allowed to ascend and eventually fall back to the starting altitude due to gravitational forces acting on it without any friction involved. To find the time at which it reaches a height of 120 feet, we must use the projectile equation which models its height in relation to time. The equation is rearranged as necessary to form a second-degree equation, resolving the variable t to determine at which times the height equals 120 ft.
