OV webassign.net C Applications of Derivatives - MA 131, section 001, Spring 2022 | WebAssign *Homework Help - Q&A from Online Tutors - Course Hero S athletic apparel + technical clothing | lululemon A baseball player hits a foul ball vertically off his bat. The ball goes straight up and then falls back down. Just before it hits the ground, the catcher catches the ball. The height of the ball t seconds after it is struck can be described by the function s (t) = -16t- +96t + 3 Here, the height of the ball above the ground, s, is measured in feet. Find the function, v(t), that describes the velocity of the ball at time t. v(t) = Find the function, a(t), that describes the acceleration of the ball at time t. a(t) = + symbolic formatting help (a) At what speed does the ball leave the bat? Speed leaving bat : 96 ft/sec (b) What is the velocity of the ball as it reaches its highest point? Velocity of ball : ft/sec (c) How long does it take the ball to reach its highest point? Time taken : 3 seconds (d) How high is the ball at its highest point? Height : feet In the next few parts of the question, we will try to find how long the ball would take to hit the ground if the catcher didn't try to catch the ball. What would be the value of s(t) when the ball hit the ground? Value of s(t) : feet. Using the formula given for s(t), you can find the time at which the ball would hit the ground by setting s(t) equal to zero and solving for t. If you do this, you get a quadratic equation for t. Find this equation and complete the following entries: -16 t2 + t+ = 0. Solve this equation using the formula that gives you the solution of a quadratic equation. At what time would the ball hit the ground? Give your answer correct to two decimal places. Time : seconds