The catapult is 11 feet off the ground, which is found using the height equation for the object h = -16t^2 + 149t + 11. To determine when the object will reach the ground, the equation is set to zero, and the positive value of t yielded from the quadratic formula or another method of solving quadratic equations will give the time when the object hits the ground.
To find how high the catapult is off the ground, we look at the constant term in the height equation, which is h = -16t^2 + 149t + 11. The constant term 11 represents the initial height of the object, which is the height of the catapult off the ground when t=0.
To determine when the object will reach the ground, we set the height equation to zero and solve for t: 0 = -16t^2 + 149t + 11. We can solve this quadratic equation by applying the quadratic formula or by factoring if factoring is possible. In this case, we would typically resort to the quadratic formula or numerical methods to solve for the positive value of t, which represents the time when the object hits the ground after being launched.