Aball is thrown up into the air with an initial velocity of 64 ft/sec. the ball is 4 ft above the ground when it is released. its height, in feet, at time t seconds is given by: h(t) = −16t^2 + 64t + 4. what is the time when it reaches its maximum height?

During a medieval siege of a castle, the attacking army uses a trebuchet to hurl heavy stones at the castle walls. if the trebuchet launches the stones with a velocity of at an angle of 50.0°, (a) how long does it take the stone to hit the ground? (b) what is the maximum distance that the trebuchet can be from the castle wall to be in range? (c) how high will the stones go? show all your work.