with detailed solution

VII. (10 points) A ball was thrown vertically upward from the top of a building with an initial velocity of 64 ft/sec. The equation of the motion is s = -16t + 64t + 80 where s ft. is the directed distance of the ball from the ground after t seconds. a. How many seconds does it take to the ball to reach its highest point? b. Find the maximum height the ball will attain. c. How long would it take the ball to hit the ground? d. Determine the velocity of the ball when it reaches the ground. e. Determine the acceleration of the ball at any time during its flight